Kenrô Furutani

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All published works

Action	Title	Year	Authors
+	Invariant integral structures in pseudo $H$-type Lie algebras: construction and classification	2023	Kenrô Furutani Irina Markina
+ PDF Chat	Calabi–Yau structure and Bargmann type transformation on the Cayley projective plane	2022	Kurando Baba Kenrô Furutani
+	Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane	2021	Kurando Baba Kenrô Furutani
+	Automorphism groups of pseudo H-type algebras	2020	Kenrô Furutani Irina Markina
+ PDF Chat	Spectral theory of a class of nilmanifolds attached to Clifford modules	2020	Wolfram Bauer Kenrô Furutani Chisato Iwasaki Abdellah Laaroussi
+	ON THE HEAT KERNEL ON FORMS ON THE HEISENBERG GROUP (Symmetry and Singularity of Geometric Structures and Differential Equations)	2019	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+	Spectral theory of a class of nilmanifolds attached to clifford modules	2019	Wolfram Bauer Kenrô Furutani Chisato Iwasaki Abdellah Laaroussi
+	Automorphism groups of pseudo $H$-type algebras.	2019	Kenrô Furutani Irina Markina
+	Spectral theory of a class of nilmanifolds attached to clifford modules	2019	Wolfram Bauer Kenrô Furutani Chisato Iwasaki Abdellah Laaroussi
+	Automorphism groups of pseudo $H$-type algebras	2019	Kenrô Furutani Irina Markina
+ PDF Chat	Complete classification of pseudo H-type algebras: II	2018	Kenrô Furutani Irina Markina
+ PDF Chat	Pseudo-metric 2-step nilpotent Lie algebras	2018	Christian Autenried Kenrô Furutani Irina Markina Alexander Vasil’ev
+	Lie algebras attached to Clifford modules and simple graded Lie algebras	2017	Kenrô Furutani Mauricio Godoy Molina Irina Markina Tôhru Morimoto Alexander Vasil’ev
+	A codimension 3 sub-Riemannian structure on the Gromoll–Meyer exotic sphere	2017	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+	Sub-Riemannian structures in a principal bundle and their Popp measures	2017	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+	Complete classification of pseudo H-type Lie algebras: I	2017	Kenrô Furutani Irina Markina
+	Complete classification of pseudo $H$-type algebras: II	2017	Kenrô Furutani Irina Markina
+	Lie algebras attached to Clifford modules and simple graded Lie algebras	2017	Kenrô Furutani Mauricio Godoy Molina Irina Markina Tôhru Morimoto Alexander Vasil’ev
+	Structure constants of pseudo $H$-type algebras in some integral bases	2016	Kenrô Furutani Irina Markina
+	A co-dimensional 3 sub-Riemannian structure on Gromoll-Meyer exotic sphere	2016	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+	Pseudo-metric 2-step nilpotent Lie algebras	2015	Christian Autenried Kenrô Furutani Irina Markina Alexander Vasil’ev
+	Spectral zeta function on pseudo H-type nilmanifolds	2015	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+ PDF Chat	Free nilpotent and H-type Lie algebras. Combinatorial and orthogonal designs	2015	Kenrô Furutani Irina Markina Alexander Vasil’ev
+	The inverse of a parameter family of degenerate operators and applications to the Kohn-Laplacian	2015	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+	Complete classification of $H$-type algebras: I	2015	Kenrô Furutani Irina Markina
+	Pseudo-metric 2-step nilpotent Lie algebras	2015	Christian Autenried Kenrô Furutani Irina Markina Alexander Vasil’ev
+	Fundamental solution of a higher step Grushin type operator	2014	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+	Free nilpotent and $H$-type Lie algebras. Combinatorial and orthogonal designs	2014	Kenrô Furutani Irina Markina Alexander Vasil’ev
+	Classification of pseudo $H$-type algebras	2014	Christian Autenried Kenrô Furutani Irina Markina
+	Free nilpotent and $H$-type Lie algebras. Combinatorial and orthogonal designs	2014	Kenrô Furutani Irina Markina Alexander Vasil’ev
+	Existence of the lattice on general $H$-type groups	2013	Kenrô Furutani Irina Markina
+	Existence of the lattice on general $H$-type groups	2013	Kenrô Furutani Irina Markina
+	Trivializable sub-Riemannian structures on spheres	2012	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+	An action function for a higher step Grushin operator	2012	Kenrô Furutani Chisato Iwasaki Toshinao Kagawa
+	Spectral zeta function of the sub-Laplacian on two step nilmanifolds	2011	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+	Spectral Analysis and Geometry of Sub-Laplacian and Related Grushin-type Operators	2011	Wolfram Bauer Kenrô Furutani Chisato Iwasaki
+	Heat Kernels for Elliptic and Sub-elliptic Operators: Methods and Techniques	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	Heat Kernels for Elliptic and Sub-elliptic Operators	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	A Brief Introduction to the Calculus of Variations	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	The Eigenfunction Expansion Method	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	Finding Heat Kernels Using the Laguerre Calculus	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	Constructing Heat Kernels for Degenerate Elliptic Operators	2010	Ovidiu Calin Der–Chen Chang Kenrô Furutani Chisato Iwasaki
+	Heat Kernel for the Sub-Laplacian on the Sphere S 3	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	The Fourier Transform Method	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	Commuting Operators	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	Heat Kernels for Laplacians and Step-2 Sub-Laplacians	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	The Pseudo-Differential Operator Technique	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	Laplacians and Sub-Laplacians	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	Heat Kernel for the Kohn Laplacian on the Heisenberg Group	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki
+	Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant	2010	Wolfram Bauer Kenrô Furutani
+ PDF Chat	Hilbert-Schmidt Hankel Operators and Berezin Iteration	2008	Wolfram Bauer Kenrô Furutani
+	Spectral analysis and geometry of a sub-Riemannian structure on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></…	2008	Wolfram Bauer Kenrô Furutani
+	COMPACT OPERATORS AND THE PLURIHARMONIC BEREZIN TRANSFORM	2008	Wolfram Bauer Kenrô Furutani
+ PDF Chat	QUANTIZATION OPERATORS ON QUADRICS	2008	Wolfram Bauer Kenrô Furutani
+	Zeta regularized determinant of the Laplacian for classes of spherical space forms	2007	Wolfram Bauer Kenrô Furutani
+	COMPLEXFIED HOPF FIBERATION AND A PSEUDO-DIFFERENTIAL OPERATOR(Analytic Function Spaces and Their Operators)	2006	Kenrô Furutani
+	GRUSIN OPERATOR AND HEAT KERNEL OF NILPOTENT LIE GROUPS(Developments of Cartan Geometry and Related Mathematical Problems)	2006	Kenrô Furutani Chisato Iwasaki
+	HEAT KERNELS OF THE SUB-LAPLACIAN AND THE LAPLACIAN ON NILPOTENT LIE GROUPS	2006	Kenrô Furutani
+	Pseudo-Differential Operator and Reproducing Kernels Arising in Geometric Quantization	2006	Kenrô Furutani
+ PDF Chat	Atiyah–Patodi–Singer boundary condition and a splitting formula of a spectral flow	2005	Kenrô Furutani
+ PDF Chat	Fredholm–Lagrangian–Grassmannian and the Maslov index	2004	Kenrô Furutani
+ PDF Chat	On the Quillen determinant	2004	Kenrô Furutani
+	Atiyah-Patodi-Singer boundary condition and a splitting formula of a spectral flow	2004	Kenrô Furutani
+	On the Quillen determinant	2003	Kenrô Furutani
+ PDF Chat	Determinant of Laplacians on Heisenberg manifolds	2003	Kenrô Furutani Serge de Gosson
+	A Kähler Structure on the Punctured Cotangent Bundle of the Cayley Projective Plane	2003	Kenrô Furutani
+	Quantization of the Geodesic flow on Quaternion Projective Spaces	2003	Kenrô Furutani
+	The Geometry of Cauchy Data Spaces	2003	Bernhelm Booß–Bavnbek Kenrô Furutani Krzysztof P. Wojciechowski
+	Maslov index in the infinite dimension and a splitting formula for a spectral flow	2003	Kenrô Furutani Nobukazu Ôtsuki
+	A Kaehler structure on the punctured cotangent bundle of the Cayley projective plane	2003	Kenrô Furutani
+ PDF Chat	Maslov index in the infinite dimension and a splitting formula for a spectral flow	2002	Kenrô Furutani Nobukazu Ôtsuki
+	None	2002	Kenrô Furutani
+ PDF Chat	Criss-Cross Reduction of the Maslov Index and a Proof of the Yoshida-Nicolaescu Theorem	2001	Bernhelm Booß–Bavnbek Kenrô Furutani Nobukazu Ôtsuki
+	The geometry of cauchy data spaces: this report is dedicated to the memory of Jean Leray (1906-1998)	2000	Bernhelm Booß–Bavnbek Kenrô Furutani Krzysztof P. Wojciechowski
+ PDF Chat	The Maslov Index: a Functional Analytical Definition and the Spectral Flow Formula	1998	Bernhelm Booß–Bavnbek Kenrô Furutani
+	The heat kernel and the spectrum of a class of nilmanifolds	1996	Kenrô Furutani
+ PDF Chat	A Kähler structure on the punctured cotangent bundle of complex and quaternion projective spaces and its application to a geometric quantization II	1995	Kenrô Furutani Shintaro Yoshizawa
+ PDF Chat	A Kähler structure on the punctured cotangent bundle of complex and quaternion projective spaces and its application to a geometric quantization I	1994	Kenrô Furutani Ryuichi Tanaka
+ PDF Chat	Spectral flow and intersection number	1993	Kenrô Furutani Nobukazu Ôtsuki
+	The spectrum of the laplacian on a certain nilpotent lie group	1993	Kenrô Furutani Kei Sagami Nobukazu Ôtsuki
+ PDF Chat	Spectral Flow and Maslov Index Arising from Lagrangian Intersections	1991	Kenrô Furutani Nobukazu Ôtsuki
+ PDF Chat	On a differentiable map commuting with an elliptic pseudo-differential operator	1984	Kenrô Furutani
+ PDF Chat	On an isomorphism of the algebra of pseudo-differential operators	1984	Kenrô Furutani
+ PDF Chat	On the group of diffeomorphisms commuting with an elliptic operator	1983	Kenrô Furutani
+ PDF Chat	On a stability of essential spectra of Laplace operators on non-compact Riemannian manifolds	1980	Kenrô Furutani

Common Coauthors

Coauthor	Papers Together
Chisato Iwasaki	28
Irina Markina	20
Wolfram Bauer	19
Der–Chen Chang	13
Ovidiu Calin	13
Alexander Vasil’ev	8
Nobukazu Ôtsuki	6
Christian Autenried	4
Bernhelm Booß–Bavnbek	4
Abdellah Laaroussi	3
Mauricio Godoy Molina	2
Tôhru Morimoto	2
Kurando Baba	2
Krzysztof P. Wojciechowski	2
Toshinao Kagawa	1
Kei Sagami	1
Shintaro Yoshizawa	1
Ryuichi Tanaka	1
Serge de Gosson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms	1980	Aroldo Kaplan	15
+	Integral Structures on H-type Lie Algebras	2001	G. Douglas Crandall J. Dodziuk	13
+	On the Geometry of Groups of Heisenberg Type	1983	Aroldo Kaplan	12
+	Sub-semi-Riemannian geometry of general H -type groups	2013	Mauricio Godoy Molina Anna Korolko Irina Markina	12
+	The Green Function of Model Step Two Hypoelliptic Operators and the Analysis of Certain Tangential Cauchy Riemann Complexes	1996	Richard Beals Bernard Gaveau Peter Greiner	11
+ PDF Chat	A nonunitary pairing of polarizations for the Kepler problem	1979	John Rawnsley	10
+ PDF Chat	Scalar products on clifford modules and pseudo-H-type lie algebras	2000	Paolo Ciatti	10
+	Spectral analysis and geometry of a sub-Riemannian structure on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></…	2008	Wolfram Bauer Kenrô Furutani	9
+	Hamilton–Jacobi theory and the heat kernel on Heisenberg groups	2000	Richard Beals Bernard Gaveau Peter Greiner	9
+	Spectral zeta function of the sub-Laplacian on two step nilmanifolds	2011	Wolfram Bauer Kenrô Furutani Chisato Iwasaki	9
+	H-type groups and Iwasawa decompositions	1991	Michael Cowling A. H. Dooley Adam Korányi Fulvio Ricci	9
+	Clifford modules	1964	Michael Atiyah R. Bott Alexander Shapiro	9
+	A zeta function associated to the sub-laplacian on the unit sphere in ℂN	2002	Der‐Chen Chang Song-Ying Li	8
+ PDF Chat	On a Bargmann-type transform and a Hilbert space of holomorphic functions	1986	Kiyotaka Ii	8
+ PDF Chat	The spectrum of the Laplacian on Riemannian Heisenberg manifolds.	1986	Carolyn S. Gordon Edward N. Wilson	8
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander	8
+ PDF Chat	Sub-Riemannian geometry	1986	Robert S. Strichartz	7
+	Spectral Analysis and Geometry of Sub-Laplacian and Related Grushin-type Operators	2011	Wolfram Bauer Kenrô Furutani Chisato Iwasaki	7
+ PDF Chat	A Kähler structure on the punctured cotangent bundle of complex and quaternion projective spaces and its application to a geometric quantization II	1995	Kenrô Furutani Shintaro Yoshizawa	7
+ PDF Chat	Principe de moindre action, propagation de la chaleur et estimees sous elliptiques sur certains groupes nilpotents	1977	Bernard Gaveau	7
+	Manifolds all of whose Geodesics are Closed	1978	Arthur L. Besse	7
+ PDF Chat	Index theory for skew-adjoint fredholm operators	1969	Michael Atiyah Isadore Manuel Singer	7
+	Existence of the lattice on general $H$-type groups	2013	Kenrô Furutani Irina Markina	7
+ PDF Chat	A Kähler structure on the punctured cotangent bundle of complex and quaternion projective spaces and its application to a geometric quantization I	1994	Kenrô Furutani Ryuichi Tanaka	7
+	The algebraic theory of quadratic forms	1973	T. Y. Lam	7
+ PDF Chat	The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups	2009	Andrei Agrachev Ugo Boscain Jean-Paul Gauthier Francesco Rossi	7
+ PDF Chat	Self-adjoint elliptic operators and manifold decompositions part I: Low Eigenmodes and stretching	1996	Sylvain E. Cappell Ronnie Lee Edward Y. Miller	6
+	Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant	2010	Wolfram Bauer Kenrô Furutani	6
+ PDF Chat	Determinant of Laplacians on Heisenberg manifolds	2003	Kenrô Furutani Serge de Gosson	6
+	COHERENT STATES AND KAHLER MANIFOLDS	1977	John Rawnsley	6
+	Floer Homology and Splittings of Manifolds	1991	Tomoyoshi Yoshida	6
+	On the maslov index	1994	Sylvain E. Cappell Ronnie Lee Edward Y. Miller	6
+	A Tour of Subriemannian Geometries, Their Geodesics and Applications	2006	Richard Montgomery	6
+	Kahler structures on the tangent bundle of Riemannianmanifolds of constant positive curvature	1999	Kiyotaka Ii Tsuyoshi Morikawa	6
+	Lie groups locally isomorphic to generalized Heisenberg groups	2008	Hiroshi Tamaru Hisashi Yoshida	6
+ PDF Chat	Casson's invariant and gauge theory	1990	Clifford Henry Taubes	6
+	Pseudo-differential Operators and Non-elliptic Boundary Problems	1966	Lars Hörmander	6
+ PDF Chat	Geometry of $2$-step nilpotent groups with a left invariant metric	1994	Patrick Eberlein	6
+ PDF Chat	Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces	1995	Jürgen Berndt F. Tricerri L. Vanhecke	6
+	Heat Kernels for Elliptic and Sub-elliptic Operators	2010	Ovidiu Calin Der‐Chen Chang Kenrô Furutani Chisato Iwasaki	6
+	Spectral zeta function on pseudo H-type nilmanifolds	2015	Wolfram Bauer Kenrô Furutani Chisato Iwasaki	6
+	Riemannian Submersions and Lattices in 2-step Nilpotent Lie Groups	2003	Patrick Eberlein	6
+	A relative morse index for the symplectic action	1988	Andreas Floer	6
+	DISCRETE SUBGROUPS OF LIE GROUPS	1972	Raghunathan	6
+ PDF Chat	Parametrix for a Degenerate Parabolic Equation and its Application to the Asymptotic Behavior of Spectral Functions for Stationary Problems	1981	Chisato Iwasaki Nobuhisa Iwasaki	5
+	The Maslov index for paths	1993	Joel W. Robbin Dietmar Salamon	5
+	Rigidity of H–type groups	2001	Hans Martin Reimann	5
+	A Kähler Structure on the Punctured Cotangent Bundle of the Cayley Projective Plane	2003	Kenrô Furutani	5
+	Complex Structures on the Tangent Bundle of Riemannian Manifolds	1993	László Lempert	5
+ PDF Chat	A system of quadrics describing the orbit of the highest weight vector	1982	Woody Lichtenstein	5