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the completeness of a Riemannian space imply that it belongs to a null class in the classification theory of Riemannian spaces? That the answer is in the negative in the two-dimensional case is exemplified by
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2016
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Mitsuru Nakai
Leo Sario
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A principal function problem and the field of meromorphic functions
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2013
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Mikihiro Hayashi
Mitsuru Nakai
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PDF
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Banach spaces of bounded Dirichlet finite harmonic functions on Riemann surfaces
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2013
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Mitsuru Nakai
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THE MARTIN AND ROYDEN COMPACTIFICATIONS OF TOKI COVERING SURFACES (Potential theory and fiber spaces)
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2012
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Mitsuru Nakai
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Square means versus Dirichlet integrals for harmonic functions on Riemann surfaces
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2012
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Hiroaki Masaoka
Mitsuru Nakai
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Surfaces carrying sufficiently many Dirichlet finite harmonic functions that are automatically bounded
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2012
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Mitsuru Nakai
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An application of capacitary functions to an inverse inclusion problem
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2011
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Mitsuru Nakai
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An application of capacitary functions to an inverse inclusion problem
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2011
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Mitsuru Nakai
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Nonreflexivity of Banach spaces of bounded harmonic functions on Riemann surfaces
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2010
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Mitsuru Nakai
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RELATIVE CLASSES OF HARMONIC FUNCTIONS ON RIEMANN SURFACES (Potential theory and the Bergman kernel)
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2010
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Mitsuru Nakai
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PDF
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Existence of singular harmonic functions
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2010
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Mitsuru Nakai
Shigeo Segawa
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PDF
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Surfaces carrying no singular functions
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2009
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Mitsuru Nakai
Shigeo Segawa
Toshimasa Tada
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PDF
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Types of afforested surfaces
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2009
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Mitsuru Nakai
Shigeo Segawa
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PDF
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Extremal functions for capacities
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2009
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Mitsuru Nakai
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Evans potentials and the Riesz decomposition
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2008
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Mitsuru Nakai
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PDF
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The role of compactification theory in the type problem
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2008
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Mitsuru Nakai
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The role of symmetry for pasting arcs in the type problem
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2007
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Mitsuru Nakai
Shigeo Segawa
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Invariance of Picard Dimensions Under Basic Perturbations
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2007
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Mitsuru Nakai
Toshimasa Tada
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PDF
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Bounds in capacity inequalities for two sheeted spheres
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2007
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Mitsuru Nakai
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PDF
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Local representability as Dirichlet solutions
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2007
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Mitsuru Nakai
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PDF
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The Dependence of Capacities on moving Branch points
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2007
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Mitsuru Nakai
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PDF
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Existence of supercritical pasting arcs for two sheeted spheres
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2006
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Mitsuru Nakai
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PDF
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Dependance of Dirichlet integrals upon lumps of Riemann surfaces
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2005
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Mitsuru Nakai
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PDF
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Heins problem on harmonic dimensions
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2005
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Mitsuru Nakai
Toshimasa Tada
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The Role of Completeness in the Type Problem for Infinitely Sheeted Planes
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2004
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Mitsuru Nakai
Shigeo Segawa
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PDF
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Types of complete Infinitely sheeted Planes
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2004
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Mitsuru Nakai
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Types of complete infinitely sheeted planes (Potential Theory and Related Topics)
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2002
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Mitsuru Nakai
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Harmonic Liouville Theorem for Exterior Domains
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2001
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Mitsuru Nakai
Toshimasa Tada
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PDF
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A uniqueness theorem and the myrberg phenomenon for a Zalcman domain
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2000
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Mikihiro Hayashi
Yasuyuki Kobayashi
Mitsuru Nakai
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PDF
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Dirichlet finite harmonic measures on topological balls
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2000
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Mitsuru Nakai
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Dirichlet finite harmonic measures on topological balls
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2000
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Mitsuru Nakai
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A uniqueness theorem and the Myrberg phenomenon for a Zalcman domain (II) (Analytic Function Spaces and Operators on these Spaces)
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2000
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Mikihiro Hayashi
Yasuyuki Kobayashi
Mitsuru Nakai
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A form of classical Liouville theorem for polyharmonic functions
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2000
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Mitsuru Nakai
Toshimasa Tada
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PDF
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Harmonic functions expressible as Dirichlet solutions
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1999
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Mitsuru Nakai
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PDF
Chat
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A uniqueness theorem and the Myrberg phenomenon
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1998
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Mikihiro Hayashi
Mitsuru Nakai
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Picard principle for negative planar potentials
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1997
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Mitsuru Nakai
Toshimasa Tada
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Monotoneity and homogeneity of Picard dimensions for signed radial densities
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1997
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Mitsuru Nakai
Toshimasa Tada
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Boundary continuity of Dirichlet finite harmonic measures on compact bordered Riemannian manifolds
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1997
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Mitsuru Nakai
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PDF
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Regular and stable points in Dirichlet problem
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1997
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Yujiro Ishikawa
Mitsuru Nakai
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PDF
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Brelot spaces of Schrödinger equations
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1996
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Mitsuru Nakai
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Minimal martin compactifications of riemann surfaces with densities
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1996
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Michihiko Kawamura
Mitsuru Nakai
Toshimasa Tada
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Existence of Dirichlet infinite harmonic measures on the Euclidean unit ball
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1996
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Mitsuru Nakai
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A form of classical Picard principle
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1996
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Yujiro Ishikawa
Mitsuru Nakai
Toshimasa Tada
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PDF
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Existence of Dirichlet infinite harmonic measures on the unit disc
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1995
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Mitsuru Nakai
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PDF
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On the difinition of the Virtanen property for Riemannian manifolds
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1995
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Mitsuru Nakai
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PDF
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Existence of Dirichlet finite harmonic measures on Euclidean balls
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1994
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Mitsuru Nakai
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PDF
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Two sheeted discs and bounded analytic functions
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1993
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Mikihiro Hayashi
Mitsuru Nakai
Shigeo Segawa
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Existence of dirichlet finite harmonic measures in nonlinear potential theory
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1993
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Mitsuru Nakai
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Riemannian manifolds with connected Royden harmonic boundaries
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1992
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Mitsuru Nakai
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PDF
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Bounded analytic functions on two sheeted discs
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1992
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Mikihiro Hayashi
Mitsuru Nakai
Shigeo Segawa
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Continuity of solutions of Schrödinger equations
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1991
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Mitsuru Nakai
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Dirichlet finite harmonic measures on riemann surfaces
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1991
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Mitsuru Nakai
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Comparison of Martin boundaries for Schrödinger operators
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1989
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Mitsuru Nakai
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FUNCTIONS OF HARDY-ORLICZ CLASS ON RIEMANN SURFACES
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1989
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Mitsuru Nakai
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PDF
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Point separation by bounded analytic functions of a covering Riemann surface
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1988
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Mikihiro Hayashi
Mitsuru Nakai
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Extreme nonmonotoneity of the Picard principle
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1988
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Mitsuru Nakai
Toshimasa Tada
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Valuations on meromorphic functions of bounded type
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1988
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Mitsuru Nakai
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PDF
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Note on Hp on Riemann surfaces
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1987
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Mitsuru Nakai
Toshimasa Tada
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Singular points on the royden harmonic boundary
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1986
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Moses Glasner
Mitsuru Nakai
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Singular points on compactifications of a Riemann surface
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1986
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Moses Glasner
Mitsuru Nakai
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VALUATIONS ON MEROMORPHIC FUNCTIONS OF BOUNDED TYPE(Function Spaces on Riemann Surfaces)
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1985
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Mitsuru Nakai
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PDF
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Corona theorem with bounds for finitely sheeted disks
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1985
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Masaru Hara
Mitsuru Nakai
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PDF
Chat
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Nonmonotoneity of Picard principle
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1985
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Mitsuru Nakai
Toshimasa Tada
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PDF
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The distribution of Picard dimensions
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1984
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Mitsuru Nakai
Toshimasa Tada
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PDF
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The corona problem on finitely sheeted covering surfaces
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1983
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Mitsuru Nakai
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Order comparison of quasibounded solutions ofd*du=uP on Riemann surfaces
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1982
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Moses Glasner
Mitsuru Nakai
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PDF
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Corona problem for Riemann surfaces of Parreau-Widom type
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1982
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Mitsuru Nakai
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PDF
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Dirichlet integral and Picard principle
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1982
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Mitsuru Nakai
Toshimasa Tada
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PDF
Chat
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Existence of quasiconformal mappings between Riemannian manifolds
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1982
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Mitsuru Nakai
Hiroshi Tanaka
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PDF
Chat
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Harmonic functionals on open Riemann surfaces
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1981
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Mitsuru Nakai
Leo Sario
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PDF
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A note on images of reduction operators
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1981
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Moses Glasner
Mitsuru Nakai
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Parabolicity and the Riemann Theorem
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1981
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Mitsuru Nakai
Leo Sario
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PDF
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Strong Picard principle
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1980
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Mitsuru Nakai
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Existence of Quasiconformal Mappings between Riemann Surfaces (擬等角写像とリーマン面)
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1979
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Mitsuru Nakai
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Inextremization and boundedness on open Riemann surfaces
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1979
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Moses Glasner
Mitsuru Nakai
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PDF
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The range of Picard dimensions
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1979
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Mitsuru Nakai
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PDF
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Square integrable harmonic functions on plane regions
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1979
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Mitsuru Nakai
Leo Sario
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PDF
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Picard principle for finite densities
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1978
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Mitsuru Nakai
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PDF
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An example on canonical isomorphism
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1978
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Mitsuru Nakai
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PDF
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Duffin’s function and Hadamard’s conjecture
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1978
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Mitsuru Nakai
Leo Sario
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Existence of Biharmonic Green's Functions
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1978
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Mitsuru Nakai
Leo Sario
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PDF
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Malformed subregions of Riemann surfaces
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1977
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Mitsuru Nakai
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Existence relations between harmonic and biharmonic Green's functions
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1977
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Mitsuru Nakai
Leo Sario
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PDF
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Harmonic dimensions related to Dirichlet integrals
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1977
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Mitsuru Nakai
Shigeo Segawa
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PDF
Chat
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Classification Theory of Riemannian Manifolds
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1977
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Leo Sario
Mitsuru Nakai
Cecilia Wang
Lung Ock Chung
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Bounded dirichlet finite biharmonic functions
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1977
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Leo Sario
Mitsuru Nakai
Cecilia Wang
Lung Ock Chung
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Hadamard’s conjecture on the Green’s function of a clamped plate
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1977
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Leo Sario
Mitsuru Nakai
Cecilia Wang
Lung Ock Chung
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Riesz representation of biharmonic functions
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1977
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Leo Sario
Mitsuru Nakai
Cecilia Wang
Lung Ock Chung
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Laplace-Beltrami operator
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1977
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Leo Sario
Mitsuru Nakai
Cecilia Wang
Lung Ock Chung
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Biharmonic Green’s function β: Definition and existence
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1977
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Leo Sario
Mitsuru Nakai
Cecilia Wang
Lung Ock Chung
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Biharmonic Green’s function γ
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1977
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Leo Sario
Mitsuru Nakai
Cecilia Wang
Lung Ock Chung
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Bounded biharmonic functions
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1977
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Leo Sario
Mitsuru Nakai
Cecilia Wang
Lung Ock Chung
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Parabolic riemannian planes carrying biharmonic green’s functions of the clamped plate
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1976
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Mitsuru Nakai
Leo Sario
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Harmonic functions on a Riemannian ball
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1976
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Mitsuru Nakai
Leo Sario
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PDF
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Extremizations and Dirichlet integrals on Riemann surfaces
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1976
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Mitsuru Nakai
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PDF
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On a subsurface of Tôko Surface
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1976
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Mitsuru Nakai
Shigeo Segawa
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PDF
Chat
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Picard principle and Riemann theorem
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1976
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Mitsuru Nakai
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Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies
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1976
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Mitsuru Nakai
Leo Sario
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PDF
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A test for Picard principle
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1975
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Mitsuru Nakai
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PDF
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Canonical isomorphisms of energy finite solutions of <i>Δu = Pu</i> on open Riemann surfaces
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1975
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Mitsuru Nakai
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PDF
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A remark on Picard principle, II
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1975
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Mitsuru Nakai
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PDF
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Divisors on meromorphic function fields
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1975
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Mitsuru Nakai
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PDF
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Martin boundary over an isolated singularity of rotation free density
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1974
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Mitsuru Nakai
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PDF
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Banach spaces of bounded solutions of <i>Δu</i> = <i>Pu</i> (<i>P</i> ≥ 0) on hyperbolic riemann surfaces
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1974
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Mitsuru Nakai
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PDF
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Densities without Evans solutions
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1974
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Mitsuru Nakai
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PDF
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A remark on Picard principle
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1974
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Mitsuru Nakai
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PDF
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Dirichlet finite biharmonic functions on the plane with distorted metrics
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1973
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Mitsuru Nakai
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PDF
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Uniform densities on hyperbolic Riemannl surfaces
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1973
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Mitsuru Nakai
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PDF
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Order Comparisons on Canonical Isomorphisms
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1973
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Mitsuru Nakai
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PDF
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Circle Means of Green’s Functions
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1973
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Mitsuru Nakai
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PDF
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Riemannian Manifolds with Discontinuous Metrics and the Dirichlet Integral
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1972
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Moses Glasner
Mitsuru Nakai
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The equation Δu = Pu on the unit disk with almost rotation free P ⩾ 0
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1972
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Mitsuru Nakai
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PDF
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Royden algebras and quasi-isometries of Riemannian manifolds
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1972
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Mitsuru Nakai
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PDF
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Radon-Nikodým densities and Jacobians
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1972
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Mitsuru Nakai
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PDF
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Quasiharmonic classification of Riemannian manifolds
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1972
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Mitsuru Nakai
Leo Sario
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PDF
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Quasiharmonic Classification of Riemannian Manifolds
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1972
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Mitsuru Nakai
Leo Sario
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PDF
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A Property of Biharmonic Functions with Dirichlet Finite Laplacians.
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1971
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Mitsuru Nakai
Leo Sario
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PDF
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Behavior of Green lines at the Kuramochi boundary of a Riemann surface
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1971
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Mitsuru Nakai
Leo Sario
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PDF
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Dirichlet finite solutions of Δ𝑢=𝑃𝑢, and classification of Riemann surfaces
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1971
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Mitsuru Nakai
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A remark on classification of Riemann surfaces with respect to Δ𝑢=𝑃𝑢
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1971
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Mitsuru Nakai
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A remark on classification of Riemannian manifolds with respect to Δ𝑢=𝑃𝑢
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1971
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Moses Glasner
Richard Katz
Mitsuru Nakai
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PDF
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The equation $\Delta u=Pu$ on $E^{m}$ with almost rotation free $P\geq 0$
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1971
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Mitsuru Nakai
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Dirichlet finite biharmonic functions with Dirichlet finite laplacians
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1971
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Mitsuru Nakai
Leo Sario
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PDF
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Dirichlet finite solutions of $\Delta u=Pu$ on open Riemann surfaces
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1971
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Mitsuru Nakai
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PDF
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Biharmonic classification of Riemannian manifolds
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1971
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Mitsuru Nakai
Leo Sario
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Examples in the classification theory of Riemannian manifolds and the equation?u=Pu
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1971
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Moses Glasner
Richard Katz
Mitsuru Nakai
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A new operator for elliptic equations, and theP-compactification for ?u=Pu
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1970
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Mitsuru Nakai
Leo Sario
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Infinite boundary value problems for second order elliptic partial differential equations(Dedicated to Professor Kosaku Yosida on his 60th birthday)
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1970
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Mitsuru Nakai
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Classification Theory of Riemann Surfaces
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1970
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Leo Sario
Mitsuru Nakai
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PDF
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On Principal Function Problem
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1970
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Mitsuru Nakai
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PDF
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Continuity of mappings of vector lattices with norms and seminorms
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1970
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Mitsuru Nakai
Leo Sario
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Dirichlet Finite Harmonic Functions
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1970
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Leo Sario
Mitsuru Nakai
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Other Classes of Harmonic Functions
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1970
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Leo Sario
Mitsuru Nakai
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Functions with Logarithmic Singularities
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1970
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Leo Sario
Mitsuru Nakai
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Classification Theory of Riemann Surfaces
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1970
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Leo Sario
Mitsuru Nakai
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Other Classes of Analytic Functions
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1970
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Leo Sario
Mitsuru Nakai
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Dirichlet Finite Analytic Functions
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1970
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Leo Sario
Mitsuru Nakai
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PDF
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Harmonic differential with prescribed singularities
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1968
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Mitsuru Nakai
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PDF
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Linear set of the second category with zero capacity
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1968
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Masanori Kishi
Mitsuru Nakai
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PDF
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Infinite boundary value problem
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1968
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Mitsuru Nakai
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PDF
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Classification and Deformation of Riemannian Spaces.
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1967
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Mitsuru Nakai
Leo Sario
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PDF
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On Evans’ kernel
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1967
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Mitsuru Nakai
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PDF
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Border Reduction in Existence Problems of Harmonic Forms
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1967
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Mitsuru Nakai
Leo Sario
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PDF
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Sario’s Potentials and Analytic Mappings
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1967
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Mitsuru Nakai
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PDF
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COMPLETENESS AND FUNCTION-THEORETIC DEGENERACY OF RIEMANNIAN SPACES
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1967
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Mitsuru Nakai
Leo Sario
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Potentials of Sario's kernel
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1966
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Mitsuru Nakai
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PDF
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Radon-Nikodym Densities between Harmonic Measures on the Ideal Boundary of an Open Riemann Surface
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1966
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Mitsuru Nakai
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PDF
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Normal operators, linear liftings and the Wiener compactification
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1966
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Mitsuru Nakai
Leo Sario
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PDF
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Existence of positive harmonic functions
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1966
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Mitsuru Nakai
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PDF
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Finite interpolation for analytic functions with finite Dirichlet integrals
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1966
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Mitsuru Nakai
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PDF
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Royden’s map between Riemann surfaces
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1966
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Mitsuru Nakai
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PDF
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Construction of Principal Functions by Orthogonal Projection
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1966
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Mitsuru Nakai
Leo Sario
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PDF
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On $\Phi$-bounded harmonic functions
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1966
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Mitsuru Nakai
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PDF
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Φ-bounded harmonic functions and classification of Riemann surfaces
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1965
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Mitsuru Nakai
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PDF
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On a criterion of quasi-boundedness of positive harmonic functions
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1965
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Mitsuru Nakai
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PDF
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Green Potential of Evans Type on Royden’s Compactification of a Riemann Surface
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1964
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Mitsuru Nakai
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PDF
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Behaviour of Green Lines at Royden’s Boundary of Riemann Surfaces
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1964
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Mitsuru Nakai
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PDF
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A property of Green's star domain
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1964
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Mitsuru Nakai
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On Wiener homeomorphism between Riemann surfaces
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1964
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Mitsuru Nakai
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PDF
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On the Fundamental Existence Theorem of Kishi
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1963
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Mitsuru Nakai
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Evans' harmonic functions on Riemann surfaces
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1963
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Mitsuru Nakai
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On rings of analytic functions on Riemann surfaces
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1963
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Mitsuru Nakai
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On Evans' solution of the equation $\Delta u=Pu$ on Riemann surfaces
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1963
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Mitsuru Nakai
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Genus and classfication of Riemann surfaces.
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1962
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Mitsuru Nakai
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Genus and classification of Riemann surfaces
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1962
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Mitsuru Nakai
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The Space of Dirichlet-Finite Solutions of the Equation <i>Δu</i> = <i>Pu</i> on a Riemann Surface
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1961
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Mitsuru Nakai
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Bordered Riemann surface with parabolic double
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1961
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Mitsuru Nakai
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PDF
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A Measure on the Harmonic Boundary of a Riemann Surface
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1960
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Mitsuru Nakai
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PDF
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Algebraic Criterion on Quasiconformal Equivalence of Riemann Surfaces
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1960
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Mitsuru Nakai
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PDF
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On a problem of royden on quasiconformal equivalence of Riemann surfaces
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1960
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Mitsuru Nakai
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PDF
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Some topological properties on Royden's compactification of a Riemann surface
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1960
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Mitsuru Nakai
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PDF
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The space of non-negative solutions of the equation $\Delta u=pu$ on a Riemann surface
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1960
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Mitsuru Nakai
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PDF
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The space of bounded solutions of the equation $\Delta u = pu$ on a Riemann surface
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1960
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Mitsuru Nakai
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PDF
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A Function Algebra on Riemann Surfaces
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1959
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Mitsuru Nakai
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PDF
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On a Ring Isomorphism Induced by Quasiconformal Mappings
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1959
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Mitsuru Nakai
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Purely algebraic characterization of quasiconformality
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1959
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Mitsuru Nakai
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Algebras of some differentiable functions on Riemannian manifolds
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1959
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Mitsuru Nakai
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PDF
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Some expectations in $AW^*$-algebras
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1958
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Mitsuru Nakai
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