Bernhard Krötz

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All published works

Action	Title	Year	Authors
+	Poisson transform and unipotent complex geometry	2024	Heiko Gimperlein Bernhard Krötz Luz Roncal Sundaram Thangavelu
+ PDF Chat	On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces	2024	Bernhard Krötz Job J. Kuit Henrik Schlichtkrull
+	A note on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e20" altimg="si3.svg"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-factorizations of representations	2024	Pritam Ganguly Bernhard Krötz Job J. Kuit
+	A note on $L^p$-factorizations of representations	2023	Pritam Ganguly Bernhard Krötz Job J. Kuit
+	Discrete series representations with non-tempered embedding	2022	Bernhard Krötz Job J. Kuit Henrik Schlichtkrull
+ PDF Chat	A Paley–Wiener theorem for Harish–Chandra modules	2022	Heiko Gimperlein Bernhard Krötz Job J. Kuit Henrik Schlichtkrull
+	Poisson transform and unipotent complex geometry	2022	Heiko Gimperlein Bernhard Krötz Luz Roncal Sundaram Thangavelu
+ PDF Chat	Ellipticity and discrete series	2021	Bernhard Krötz Job J. Kuit Eric Opdam Henrik Schlichtkrull
+	Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms	2021	Patrick Delorme Friedrich Knop Bernhard Krötz Henrik Schlichtkrull
+	Discrete series representations with non-tempered embedding	2021	Bernhard Krötz Job J. Kuit Henrik Schlichtkrull
+ PDF Chat	The Constant Term of Tempered Functions on a Real Spherical Space	2020	Patrick Delorme Bernhard Krötz Sofiane Souaifi Raphaël Beuzart-Plessis
+ PDF Chat	On Sobolev norms for Lie group representations	2020	Heiko Gimperlein Bernhard Krötz
+ PDF Chat	A Paley-Wiener theorem for Harish-Chandra modules	2020	Heiko Gimperlein Bernhard Krötz Job J. Kuit Henrik Schlichtkrull
+	Ellipticity and discrete series	2020	Bernhard Krötz Job J. Kuit Eric Opdam Henrik Schlichtkrull
+ PDF Chat	The Infinitesimal Characters of Discrete Series for Real Spherical Spaces	2020	Bernhard Krötz Job J. Kuit Eric Opdam Henrik Schlichtkrull
+	Ellipticity and discrete series	2020	Bernhard Krötz Job J. Kuit Eric Opdam Henrik Schlichtkrull
+ PDF Chat	CLASSIFICATION OF REDUCTIVE REAL SPHERICAL PAIRS II. THE SEMISIMPLE CASE	2019	Friedrich Knop Bernhard Krötz Tobias Pecher Henrik Schlichtkrull
+	Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms	2018	Patrick Delorme Friedrich Knop Bernhard Krötz Henrik Schlichtkrull
+ PDF Chat	CLASSIFICATION OF REDUCTIVE REAL SPHERICAL PAIRS I. THE SIMPLE CASE	2017	Friedrich Knop Bernhard Krötz Tobias Pecher Henrik Schlichtkrull
+ PDF Chat	Geometric Counting on Wavefront Real Spherical Spaces	2017	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	The infinitesimal characters of discrete series for real spherical spaces	2017	Bernhard Krötz Job J. Kuit Eric Opdam Henrik Schlichtkrull
+ PDF Chat	Harmonic Analysis for Real Spherical Spaces	2017	Bernhard Krötz Henrik Schlichtkrull
+	Geometric counting on wavefront real spherical spaces	2017	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+ PDF Chat	The tempered spectrum of a real spherical space	2017	Friedrich Knop Bernhard Krötz Henrik Schlichtkrull
+ PDF Chat	Corrigendum: Analytic representation theory of Lie groups: general theory and analytic globalizations of Harish-Chandra modules	2017	Heiko Gimperlein Bernhard Krötz Henrik Schlichtkrull
+	Geometric counting on wavefront real spherical spaces	2017	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	The infinitesimal characters of discrete series for real spherical spaces	2017	Bernhard Krötz Job J. Kuit Eric Opdam Henrik Schlichtkrull
+	Sanya lectures on harmonic analysis for real spherical spaces	2016	Bernhard Krötz Henrik Schlichtkrull
+	Harmonic analysis for real spherical spaces	2016	Bernhard Krötz Henrik Schlichtkrull
+ PDF Chat	Erratum to: Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture	2016	Avraham Aizenbud Dmitry Gourevitch Bernhard Krötz Gang Liu
+ PDF Chat	Finite orbit decomposition of real flag manifolds	2016	Bernhard Krötz Henrik Schlichtkrull
+	Volume growth, temperedness and integrability of matrix coefficients on a real spherical space	2016	Friedrich Knop Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+ PDF Chat	Vanishing at infinity on homogeneous spaces of reductive type	2016	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+ PDF Chat	Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture	2016	Avraham Aizenbud Dmitry Gourevitch Bernhard Krötz Gang Liu
+ PDF Chat	The harmonic analysis of lattice counting on real spherical spaces	2016	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	Reductive group actions	2016	Friedrich Knop Bernhard Krötz
+	Harmonic analysis for real spherical spaces	2016	Bernhard Krötz Henrik Schlichtkrull
+	The tempered spectrum of a real spherical space	2015	Friedrich Knop Bernhard Krötz Henrik Schlichtkrull
+ PDF Chat	The local structure theorem for real spherical varieties	2015	Friedrich Knop Bernhard Krötz Henrik Schlichtkrull
+ PDF Chat	Simple compactifications and polar decomposition of homogeneous real spherical spaces	2014	Friedrich Knop Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	Representation Theory and Analysis of Reductive Groups: Spherical Spaces and Hecke Algebras	2014	Bernhard Krötz Eric Opdam Henrik Schlichtkrull Peter E. Trapa
+ PDF Chat	Multiplicity bounds and the subrepresentation theorem for real spherical spaces	2014	Bernhard Krötz Henrik Schlichtkrull
+ PDF Chat	Decomposition theorems for triple spaces	2014	Thomas Danielsen Bernhard Krötz Henrik Schlichtkrull
+	Volume growth, temperedness and integrability of matrix coefficients on a real spherical space	2014	Friedrich Knop Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+ PDF Chat	Decay of matrix coefficients on reductive homogeneous spaces of spherical type	2014	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	Hausdorffness for Lie algebra homology of Schwartz spaces	2014	Avraham Aizenbud Dmitry Gourevitch Bernhard Krötz Gang Liu
+ PDF Chat	Smooth Fréchet globalizations of Harish-Chandra modules	2013	Joseph Bernstein Bernhard Krötz
+	Multiplicity bounds and the subrepresentation theorem for real spherical spaces	2013	Bernhard Krötz Henrik Schlichtkrull
+	Finite orbit decomposition of real flag manifolds	2013	Bernhard Krötz Henrik Schlichtkrull
+	Finite orbit decomposition of real flag manifolds	2013	Bernhard Krötz Henrik Schlichtkrull
+	Multiplicity bounds and the subrepresentation theorem for real spherical spaces	2013	Bernhard Krötz Henrik Schlichtkrull
+	Decay of matrix coefficients on reductive homogeneous spaces of spherical type	2012	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	Vanishing at infinity on homogeneous spaces of reductive type	2012	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	Decay of matrix coefficients on reductive homogeneous spaces of spherical type	2012	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	Vanishing at infinity on homogeneous spaces of reductive type	2012	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	Representation Theory, Complex Analysis, and Integral Geometry	2011	Bernhard Krötz Omer Offen Eitan Sayag
+ PDF Chat	The complex crown for homogeneous harmonic spaces	2011	Roberto Camporesi Bernhard Krötz
+ PDF Chat	On Function Spaces on Symmetric Spaces	2011	Bernhard Krötz Henrik Schlichtkrull
+	Analytic factorization of Lie group representations	2011	Heiko Gimperlein Bernhard Krötz Christoph Lienau
+ PDF Chat	Analytic representation theory of Lie groups: general theory and analytic globalizations of Harish-Chandra modules	2011	Heiko Gimperlein Bernhard Krötz Henrik Schlichtkrull
+	Representation Theory and Harmonic Analysis	2011	Toshiyuki Kobayashi Bernhard Krötz
+	The complex crown for homogeneous harmonic spaces	2010	Roberto Camporesi Bernhard Krötz
+	Invariant measures on homogeneous spaces, with applications to function spaces and lattice counting	2010	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	Invariant measures on homogeneous spaces, with applications to function spaces and lattice counting	2010	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull
+	The complex crown for homogeneous harmonic spaces	2010	Roberto Camporesi Bernhard Krötz
+	Analytic factorization of Lie group representations	2009	Heiko Gimperlein Bernhard Krötz Christoph Lienau
+ PDF Chat	Holomorphic extension of eigenfunctions	2009	Bernhard Krötz Henrik Schlichtkrull
+ PDF Chat	Horospherical transform on real symmetric varieties: Kernel and cokernel	2009	Bernhard Krötz
+ PDF Chat	Normal forms for real quadratic forms	2009	Bernhard Krötz Henrik Schlichtkrull
+ PDF Chat	Орисферическое преобразование на вещественных симметрических пространствах: ядро и коядро	2009	Б Крeц Bernhard Krötz
+ PDF Chat	Crown theory for the upper half plane	2009	Bernhard Krötz
+	Analytic factorization of Lie group representations	2009	Heiko Gimperlein Bernhard Krötz Christoph Lienau
+	Smooth Frechet Globalizations of Harish-Chandra Modules	2008	Joseph Bernstein Bernhard Krötz
+ PDF Chat	Analysis on the Crown Domain	2008	Bernhard Krötz Eric Opdam
+ PDF Chat	Heat kernel transform for nilmanifolds associated to the Heisenberg group	2008	Bernhard Krötz Sundaram Thangavelu Yuan Xu
+	Smooth Frechet Globalizations of Harish-Chandra Modules	2008	Joseph Bernstein Bernhard Krötz
+ PDF Chat	Domains of holomorphy for irreducible unitary representations of simple Lie groups	2007	Bernhard Krötz
+ PDF Chat	Corner view on the crown domain	2007	Bernhard Krötz
+	A novel characterization of the Iwasawa decomposition of a simple Lie group	2007	Bernhard Krötz
+	On function spaces on symmetric spaces	2007	Bernhard Krötz Henrik Schlichtkrull
+ PDF Chat	Horospherical model for holomorphic discrete series and horospherical Cauchy transform	2006	Simon Gindikin Bernhard Krötz Gestur Ólafsson
+ PDF Chat	Holomorphic horospherical transform on noncompactly causal spaces	2006	Simon Gindikin Bernhard Krötz Gestur Ólafsson
+	The heat kernel transform for the Heisenberg group	2005	Bernhard Krötz Sundaram Thangavelu Yuan Xu
+	A refinement of the complex convexity theorem via symplectic techniques	2005	Bernhard Krötz Michael Otto
+	Lagrangian submanifolds and moment convexity	2005	Bernhard Krötz Michael Otto
+	Holomorphic extensions of representations: (ii) geometry and harmonic analysis	2005	Bernhard Krötz Robert J. Stanton
+	The Bochner measure and holomorphic extension of elemenrary spherical functions	2005	Bernhard Krötz Ray A. Kunze Robert J. Stanton
+	None	2005	Bernhard Krötz Gestur Ólafsson Robert J. Stanton
+	THE HEAT KERNEL TRANSFORM ON RIEMANNIAN SYMMETRIC SPACES OF THE NONCOMPACT TYPE	2004	Bernhard Krötz
+	SINGULARITIES OF HOLOMORPHICALLY EXTENDED SPHERICAL FUNCTIONS	2004	Bernhard Krötz Eric Opdam
+ PDF Chat	Erratum to: Holomorphic H-spherical distribution vectors in principal series representations	2004	Simon Gindikin Bernhard Krötz Gestur Ólafsson
+ PDF Chat	Holomorphic H-spherical distribution vectors in principal series representations	2004	Simon Gindikin Bernhard Krötz Gestur Ólafsson
+ PDF Chat	Holomorphic extensions of representations I: Automorphic functions	2004	Bernhard Krötz Robert J. Stanton
+ PDF Chat	Discrete group actions on Stein domains in complex Lie groups	2004	Dehbia Achab Frank Betten Bernhard Krötz
+ PDF Chat	A convexity property for real orbits in complexified Riemannian symmetric spaces	2004	Bernhard Krötz
+	The c-function for non-compactly causal symmetric spaces and its relations to harmonic analysis and representation theory	2003	Bernhard Krötz Gestur Ólafsson
+ PDF Chat	Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum	2003	Simon Gindikin Bernhard Krötz Gestur Ólafsson
+ PDF Chat	The c-function for non-compactly causal symmetric spaces	2002	Bernhard Krötz Gestur Ólafsson
+ PDF Chat	Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces	2002	Simon Gindikin Bernhard Krötz
+	None	2002	Simon Gindikin Bernhard Krötz
+	Vanishing Properties of Analytically Continued Matrix Coecients	2002	Bernhard Krötz Michael Otto
+ PDF Chat	Spherical unitary highest weight representations	2001	Bernhard Krötz Karl‐Hermann Neeb
+	On the dual of complex Ol'shanski\uı semigroups	2001	Bernhard Krötz
+	The Plancherel Theorem for invariant Hilbert spaces	2001	Joachim Hilgert Bernhard Krötz
+	Spherical functions on mixed symmetric spaces	2001	Bernhard Krötz Karl‐Hermann Neeb Gestur Ólafsson
+	Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces	1999	Joachim Hilgert Bernhard Krötz
+	Weighted Bergman spaces¶associated with causal symmetric spaces	1999	Joachim Hilgert Bernhard Krötz
+ PDF Chat	Equivariant embeddings of Stein domains sitting inside of complex semigroups	1999	Bernhard Krötz
+ PDF Chat	The Plancherel Theorem for Biinvariant Hilbert Spaces	1999	Bernhard Krötz
+ PDF Chat	Norm estimates for unitarizable highest weight modules	1999	Bernhard Krötz
+	On Hardy and Bergman spaces on complex Ol'shanskiı semigroups	1998	Bernhard Krötz
+	Spherical representations and mixed symmetric spaces	1997	Bernhard Krötz Karl‐Hermann Neeb Gestur Ólafsson
+	On hyperbolic cones and mixed symmetric spaces	1996	Bernhard Krötz Neeb

Common Coauthors

Coauthor	Papers Together
Henrik Schlichtkrull	51
Eitan Sayag	16
Job J. Kuit	13
Friedrich Knop	11
Heiko Gimperlein	10
Gestur Ólafsson	10
Eric Opdam	9
Simon Gindikin	7
Robert J. Stanton	4
Sundaram Thangavelu	4
Patrick Delorme	3
Roberto Camporesi	3
Gang Liu	3
Dmitry Gourevitch	3
Joachim Hilgert	3
Christoph Lienau	3
Avraham Aizenbud	3
Karl‐Hermann Neeb	3
Michael Otto	3
Joseph Bernstein	2
Luz Roncal	2
Tobias Pecher	2
Yuan Xu	2
Joseph Bernstein	1
Frank Betten	1
Б Крeц	1
Toshiyuki Kobayashi	1
Thomas Danielsen	1
Neeb	1
Sofiane Souaifi	1
Ray A. Kunze	1
Pritam Ganguly	1
Pritam Ganguly	1
Dehbia Achab	1
Peter E. Trapa	1
Raphaël Beuzart-Plessis	1
Omer Offen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Multiplicity bounds and the subrepresentation theorem for real spherical spaces	2014	Bernhard Krötz Henrik Schlichtkrull	19
+	Real reductive groups II	1992	Nolan R. Wallach	19
+ PDF Chat	Holomorphic extensions of representations I: Automorphic functions	2004	Bernhard Krötz Robert J. Stanton	18
+ PDF Chat	Smooth Fréchet globalizations of Harish-Chandra modules	2013	Joseph Bernstein Bernhard Krötz	18
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	17
+	On the support of Plancherel measure	1988	Joseph Bernstein	17
+ PDF Chat	Finite multiplicity theorems for induction and restriction	2013	Toshiyuki Kobayashi Toshio Oshima	16
+	On Stein extensions of real symmetric spaces	1990	Dmitri Akhiezer Simon Gindikin	16
+ PDF Chat	The local structure theorem for real spherical varieties	2015	Friedrich Knop Bernhard Krötz Henrik Schlichtkrull	16
+	Reductive group actions	2016	Friedrich Knop Bernhard Krötz	14
+	Spherical representations and mixed symmetric spaces	1997	Bernhard Krötz Karl‐Hermann Neeb Gestur Ólafsson	14
+	Causal symmetric spaces : geometry and harmonic analysis	1997	Joachim Hilgert Gestur Ólafsson	13
+	Holomorphic extensions of representations: (ii) geometry and harmonic analysis	2005	Bernhard Krötz Robert J. Stanton	12
+ PDF Chat	Simple compactifications and polar decomposition of homogeneous real spherical spaces	2014	Friedrich Knop Bernhard Krötz Eitan Sayag Henrik Schlichtkrull	12
+ PDF Chat	Mixing, counting, and equidistribution in Lie groups	1993	Alex Eskin Curt McMullen	11
+ PDF Chat	Periods and harmonic analysis on spherical varieties	2018	Yiannis Sakellaridis Akshay Venkatesh	11
+ PDF Chat	The Plancherel Theorem for Biinvariant Hilbert Spaces	1999	Bernhard Krötz	10
+	Hardy spaces on affine symmetric spaces.	1991	Joachim Hilgert Gestur Ólafsson B. Orsted	10
+	None	2002	Simon Gindikin Bernhard Krötz	10
+ PDF Chat	The orbits of affine symmetric spaces under the action of minimal parabolic subgroups	1979	Toshihiko Matsuki	10
+ PDF Chat	The tempered spectrum of a real spherical space	2017	Friedrich Knop Bernhard Krötz Henrik Schlichtkrull	10
+	Groups and Geometric Analysis	2000	Sigurđur Helgason	9
+	On hyperbolic cones and mixed symmetric spaces	1996	Bernhard Krötz Neeb	9
+	Vecteurs distributionsH-invariants pour les s�ries principales g�n�ralis�es d'espaces symetriques reductifs et prolongement meromorphe d'int�grales d'Eisenstein	1992	Jean-Luc Brylinski Patrick Delorme	9
+ PDF Chat	None	2001	Bernard Krötz	9
+	Volume growth, temperedness and integrability of matrix coefficients on a real spherical space	2016	Friedrich Knop Bernhard Krötz Eitan Sayag Henrik Schlichtkrull	9
+	Formule de Plancherel Pour les Espaces Symetriques Reductifs	1998	Patrick Delorme	9
+	On Hardy and Bergman spaces on complex Ol'shanskiı semigroups	1998	Bernhard Krötz	9
+	Real Reductive Groups I	1988		8
+	Periods and Harmonic Analysis on Spherical Varieties	2018	Akshay Venkatesh Yiannis Sakellaridis	8
+ PDF Chat	Discrete series for semisimple Lie groups I: Construction of invariant eigendistributions	1965	Harish-chandra Harish-Chandra	8
+ PDF Chat	Finite orbit decomposition of real flag manifolds	2016	Bernhard Krötz Henrik Schlichtkrull	8
+	Harmonic Analysis on Semi-Simple Lie Groups II	1972	Garth Warner	8
+	Lie Groups Beyond an Introduction	1996	Anthony W. Knapp	8
+ PDF Chat	Harmonic Analysis for Real Spherical Spaces	2017	Bernhard Krötz Henrik Schlichtkrull	8
+ PDF Chat	Canonical Extensions of Harish-Chandra Modules to Representations of <i>G</i>	1989	W. Casselman	8
+	Asymptotic behaviour of matrix coefficients related to reductive symmetric spaces	1987	Erik P. van den Ban	8
+ PDF Chat	The harmonic analysis of lattice counting on real spherical spaces	2016	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull	7
+ PDF Chat	Holomorphic representation theory II	1994	Karl‐Hermann Neeb	7
+ PDF Chat	Decay of matrix coefficients on reductive homogeneous spaces of spherical type	2014	Bernhard Krötz Eitan Sayag Henrik Schlichtkrull	7
+	None	2005	Bernhard Krötz Gestur Ólafsson Robert J. Stanton	7
+ PDF Chat	Decomposition theorems for triple spaces	2014	Thomas Danielsen Bernhard Krötz Henrik Schlichtkrull	7
+ PDF Chat	Spherical functions on ordered symmetric spaces	1994	Jacques Faraut Joachim Hilgert Gestur Ólafsson	7
+	Topological vector spaces, distributions and kernels	2006	François Trèves	7
+ PDF Chat	Holomorphic H-spherical distribution vectors in principal series representations	2004	Simon Gindikin Bernhard Krötz Gestur Ólafsson	7
+	Holomorphy and Convexity in Lie Theory	2000	Karl‐Hermann Neeb	7
+	A Classification of Unitary Highest Weight Modules	1983	Thomas J. Enright Roger Howe Nolan R. Wallach	7
+ PDF Chat	CLASSIFICATION OF REDUCTIVE REAL SPHERICAL PAIRS I. THE SIMPLE CASE	2017	Friedrich Knop Bernhard Krötz Tobias Pecher Henrik Schlichtkrull	7
+	Sphärische Untergruppen in kompakten zusammenhängenden Liegruppen	1979	Manfred Krämer	6
+ PDF Chat	Analysis on the Crown Domain	2008	Bernhard Krötz Eric Opdam	6