## Kobayashi, Toshiyuki

Compute Distance To:
 Author ID: kobayashi.toshiyuki Published as: Kobayashi, Toshiyuki; Kobayashi, T. External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 112 Publications since 1989, including 5 Books 7 Contributions as Editor Co-Authors: 42 Co-Authors with 64 Joint Publications 992 Co-Co-Authors
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### Co-Authors

 55 single-authored 11 Ørsted, Bent 10 Pevzner, Michael 6 Mano, Gen 5 Frahm, Jan 5 Hilgert, Joachim 5 Speh, Birgit 4 Benoist, Yves 4 Kassel, Fanny 4 Kubo, Toshihisa 3 Leontiev, Alex 3 Nasrin, Salma 3 Nilsson, Andreas 2 Ben Saïd, Salem 2 Krötz, Bernhard J. 2 Matsuki, Toshihiko 2 Ono, Kaoru 2 Oshima, Toshio 2 Oshima, Yoshiki 2 Schmid, Wilfried 1 Clerc, Jean-Louis 1 Demailly, Jean-Pierre 1 Giga, Yoshikazu 1 Hacon, Christopher Derek 1 Inoue, Yui 1 Kashiwara, Masaki 1 Kawamata, Yujiro 1 Lapid, Erez Moshe 1 Miyaoka, Yoichi 1 Neeb, Karl-Hermann 1 Nishiyama, Kyo 1 Oda, Takayuki 1 Ratiu, Tudor Stefan 1 Sato, Fumihiro 1 Savin, Gordan 1 Somberg, Petr 1 Soucek, Vladimir 1 Sunada, Toshikazu 1 Torossian, Charles 1 Unterberger, André 1 Van der Geer, Gerard 1 Yang, Jae-Hyun 1 Yoshino, Taro
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### Serials

 8 Advances in Mathematics 8 Proceedings of the Japan Academy. Series A 4 Journal of Functional Analysis 4 Journal of Lie Theory 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematische Annalen 3 Memoirs of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Transformation Groups 3 Oberwolfach Reports 3 Pure and Applied Mathematics Quarterly 2 Inventiones Mathematicae 2 Journal of the Faculty of Science. Section I A 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Selecta Mathematica. New Series 2 Integral Transforms and Special Functions 2 The Ramanujan Journal 2 Lecture Notes in Mathematics 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Algebra 1 Forum Mathematicum 1 Sugaku Expositions 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Communications in Analysis and Geometry 1 Journal of Mathematical Sciences. University of Tokyo 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Algebras and Representation Theory 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Australian Mathematical Society 1 Advanced Studies in Pure Mathematics 1 Progress in Mathematics 1 RIMS Kôkyûroku Bessatsu 1 Japanese Journal of Mathematics. 3rd Series
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### Fields

 99 Topological groups, Lie groups (22-XX) 57 Differential geometry (53-XX) 28 Abstract harmonic analysis (43-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Number theory (11-XX) 16 Special functions (33-XX) 14 Several complex variables and analytic spaces (32-XX) 9 Group theory and generalizations (20-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Algebraic geometry (14-XX) 8 Manifolds and cell complexes (57-XX) 7 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 4 Nonassociative rings and algebras (17-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

100 Publications have been cited 1,481 times in 460 Documents Cited by Year
Discrete decomposability of restriction of $$A_{\mathfrak q}(\lambda)$$ with respect to reductive subgroups and its applications. Zbl 0826.22015
Kobayashi, Toshiyuki
1994
Proper action on a homogeneous space of reductive type. Zbl 0662.22008
Kobayashi, Toshiyuki
1989
Discrete decomposability of the restriction of $$A_{{\mathfrak q}}(\lambda)$$ with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties. Zbl 0907.22016
Kobayashi, Toshiyuki
1998
Laguerre semigroup and Dunkl operators. Zbl 1255.43004
Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent
2012
Discrete decomposability of the restriction of $$A_q(\lambda)$$ with respect to reductive subgroups. II: Micro-local analysis and asymptotic $$K$$-support. Zbl 0910.22016
Kobayashi, Toshiyuki
1998
Finite multiplicity theorems for induction and restriction. Zbl 1317.22010
Kobayashi, Toshiyuki; Oshima, Toshio
2013
On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups. Zbl 0815.57029
Kobayashi, Toshiyuki
1993
Analysis on the minimal representation of O($$p,$$ $$q$$). III: Ultrahyperbolic equations on $$\mathbb{R}^{p-1,q-1}$$. Zbl 1039.22005
Kobayashi, Toshiyuki; Ørsted, Bent
2003
Symmetry breaking for representations of rank one orthogonal groups. Zbl 1334.22015
Kobayashi, Toshiyuki; Speh, Birgit
2015
Analysis on the minimal representation of $$O(p,q)$$. I: Realization via conformal geometry. Zbl 1046.22004
Kobayashi, Toshiyuki; Ørsted, Bent
2003
Multiplicity-free theorems of the restrictions of unitary highest weight modules with respect to reductive symmetric pairs. Zbl 1304.22013
Kobayashi, Toshiyuki
2008
The Schrödinger model for the minimal representation of the indefinite orthogonal group $$O(p,q)$$. Zbl 1225.22001
Kobayashi, Toshiyuki; Mano, Gen
2011
Multiplicity-free representations and visible actions on complex manifolds. Zbl 1085.22010
Kobayashi, Toshiyuki
2005
Compact Clifford-Klein forms of symmetric spaces – revisited. Zbl 1145.22011
Kobayashi, Toshiyuki; Yoshino, Taro
2005
Analysis on the minimal representation of $$\mathrm O(p,q)$$. II: Branching laws. Zbl 1049.22006
Kobayashi, Toshiyuki; Ørsted, Bent
2003
Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044
Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír
2015
Criterion for proper actions on homogeneous spaces of reductive groups. Zbl 0863.22010
Kobayashi, Toshiyuki
1996
Visible actions on symmetric spaces. Zbl 1147.53041
Kobayashi, Toshiyuki
2007
Discontinuous groups and Clifford-Klein forms of pseudo-Riemannian homogeneous manifolds. Zbl 0899.43005
Kobayashi, Toshiyuki
1997
Discontinuous groups for non-Riemannian homogeneous spaces. Zbl 1023.53031
Kobayashi, Toshiyuki
2001
Restrictions of generalized Verma modules to symmetric pairs. Zbl 1257.22014
Kobayashi, Toshiyuki
2012
Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups. Zbl 0937.22008
Kobayashi, Toshiyuki
1998
Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs. Zbl 1342.22029
Kobayashi, Toshiyuki; Pevzner, Michael
2016
Singular unitary representations and discrete series for indefinite Stiefel manifolds $$U(p,q;\mathbb{F})/U(p-m,q;\mathbb{F})$$. Zbl 0752.22007
Kobayashi, Toshiyuki
1992
Differential symmetry breaking operators. I: General theory and F-method. Zbl 1338.22006
Kobayashi, Toshiyuki; Pevzner, Michael
2016
Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds. Zbl 0891.22014
Kobayashi, Toshiyuki
1998
Generalized Bernstein-Reznikov integrals. Zbl 1207.42021
Clerc, Jean-Louis; Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael
2011
Deformation of properly discontinuous actions of $$\mathbb Z^{k}$$ on $$\mathbb R^{k+1}$$. Zbl 1124.57015
Kobayashi, Toshiyuki; Nasrin, Salma
2006
A generalized Cartan decomposition for the double coset space $$(U(n_1)\times U(n_2)\times U(n_3))\setminus U(n)/(U(p)\times U(q))$$. Zbl 1124.22003
Kobayashi, Toshiyuki
2007
A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type. Zbl 0799.53056
Kobayashi, Toshiyuki
1992
The restriction of $$A_ q(\lambda)$$ to reductive subgroups. Zbl 0826.22014
Kobayashi, Toshiyuki
1993
Classification of discretely decomposable $$A_{\mathfrak q}(\lambda)$$ with respect to reductive symmetric pairs. Zbl 1255.22010
Kobayashi, Toshiyuki; Oshima, Yoshiki
2012
Geometric analysis on small unitary representations of $$\text{GL}(N, \mathbb R)$$. Zbl 1217.22003
Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael
2011
F-method for symmetry breaking operators. Zbl 1311.22016
Kobayashi, Toshiyuki
2014
Note on Hirzebruch’s proportionality principle. Zbl 0726.57019
Kobayashi, Toshiyuki; Ono, Kaoru
1990
Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits. Zbl 0910.22010
Kobayashi, Toshiyuki; Ørsted, Bent
1998
Geometry of multiplicity-free representations of GL($$n$$), visible actions on flag varieties, and triunity. Zbl 1050.22018
Kobayashi, Toshiyuki
2004
A program for branching problems in the representation theory of real reductive groups. Zbl 1348.22019
Kobayashi, Toshiyuki
2015
Poincaré series for non-Riemannian locally symmetric spaces. Zbl 1333.53073
Kassel, Fanny; Kobayashi, Toshiyuki
2016
Discontinuous groups acting on homogeneous spaces of reductive type. Zbl 1193.22010
Kobayashi, Toshiyuki
1992
Conformal symmetry breaking operators for differential forms on spheres. Zbl 1353.53002
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
2016
Classification of finite-multiplicity symmetric pairs. Zbl 1298.22015
Kobayashi, T.; Matsuki, T.
2014
Integral formulas for the minimal representation of $$O(p,2$$). Zbl 1100.22007
Kobayashi, Toshiyuki; Mano, Gen
2005
Periodic Schrödinger operators on a manifold. Zbl 0655.58033
Kobayashi, Toshiyuki; Ono, Kaoru; Sunada, Toshikazu
1989
Symmetry breaking for representations of rank one orthogonal groups. II. Zbl 1421.81003
Kobayashi, Toshiyuki; Speh, Birgit
2018
The inversion formula and holomorphic extension of the minimal representation of the conformal group. Zbl 1390.22010
Kobayashi, Toshiyuki; Mano, Gen
2007
Discretely decomposable restrictions of unitary representations of reductive Lie groups – examples and conjectures. Zbl 0959.22009
Kobayashi, Toshiyuki
2000
Minimal representations via Bessel operators. Zbl 1294.22011
Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan
2014
Restrictions of unitary representations of real reductive groups. Zbl 1072.22008
Kobayashi, Toshiyuki
2005
Shintani functions, real spherical manifolds, and symmetry breaking operators. Zbl 1362.22018
Kobayashi, Toshiyuki
2014
Classification of symmetric pairs with discretely decomposable restrictions of $$(\mathfrak{g},K)$$-modules. Zbl 1321.22016
Kobayashi, Toshiyuki; Oshima, Yoshiki
2015
Propagation of multiplicity-freeness property for holomorphic vector bundles. Zbl 1284.32011
Kobayashi, Toshiyuki
2013
Tempered reductive homogeneous spaces. Zbl 1332.22015
Benoist, Yves; Kobayashi, Toshiyuki
2015
Integral formula of the unitary inversion operator for the minimal representation of $$\text{O}(p,q)$$. Zbl 1230.22007
Kobayashi, Toshiyuki; Mano, Gen
2007
Special functions associated with a certain fourth-order differential equation. Zbl 1232.33014
Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan
2011
Branching problems of unitary representations. Zbl 1008.43009
Kobayashi, Toshiyuki
2002
Branching problems of Zuckerman derived functor modules. Zbl 1236.22006
Kobayashi, Toshiyuki
2011
Multiplicity one theorem in the orbit method. Zbl 1048.22006
Kobayashi, Toshiyuki; Nasrin, Salma
2003
Generalized Fourier transforms $$\mathcal F_{k,a}$$. Zbl 1176.43003
Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent
2009
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Zbl 1264.22011
Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan; Ørsted, Bent
2012
Hidden symmetries and spectrum of the Laplacian on an indefinite Riemannian manifold. Zbl 1172.58009
Kobayashi, Toshiyuki
2009
$$F$$-method for constructing equivariant differential operators. Zbl 1290.22008
Kobayashi, Toshiyuki
2013
Harmonic analysis on reduced homogeneous manifolds and unitary representation theory. Zbl 0895.22006
Kobayashi, Toshiyuki
1994
Theory of discretely decomposable restrictions of unitary representations of semisimple Lie groups and some applications. Zbl 1279.22018
Kobayashi, Toshiyuki
2005
Perturbation of domains in the Pompeiu problem. Zbl 0847.35090
Kobayashi, Toshiyuki
1993
Intertwining operators and the restriction of representations of rank-one orthogonal groups. (Opérateurs d’entrelacement et restriction des représentations des groupes orthogonaux de rang un.) Zbl 1283.22005
Kobayashi, Toshiyuki; Speh, Birgit
2014
Global analysis by hidden symmetry. Zbl 1415.22012
Kobayashi, Toshiyuki
2017
Asymptotic behaviour of the null variety for a convex domain in a non- positively curved space form. Zbl 0701.32008
Kobayashi, Toshiyuki
1989
Composition formulas in the Weyl calculus. Zbl 1201.35187
Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael; Unterberger, André
2009
Invariant measures on homogeneous manifolds of reductive type. Zbl 0881.22013
Kobayashi, Toshiyuki
1997
Spectral analysis on pseudo-Riemannian locally symmetric spaces. Zbl 1484.58016
Kassel, Fanny; Kobayashi, Toshiyuki
2020
Vector-valued covariant differential operators for the Möbius transformation. Zbl 1321.58033
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
2014
Global uniqueness of small representations. Zbl 1376.11042
Kobayashi, Toshiyuki; Savin, Gordan
2015
Stable spectrum for pseudo-Riemannian locally symmetric spaces. (Spectre stable pour les variétés pseudo-riemanniennes localement symétriques.) Zbl 1208.22013
Kassel, Fanny; Kobayashi, Toshiyuki
2011
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability. Zbl 1481.22011
Kobayashi, Toshiyuki
2020
Algebraic analysis of minimal representations. Zbl 1227.22015
Kobayashi, Toshiyuki
2011
Introduction to actions of discrete groups on pseudo-Riemannian homogeneous manifolds. Zbl 1026.57029
Kobayashi, Toshiyuki
2002
Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds. Zbl 1074.53031
Kobayashi, Toshiyuki
2003
A vanishing theorem for modular symbols on locally symmetric spaces. Zbl 0933.11027
Kobayashi, Toshiyuki; Oda, Takayuki
1998
Indefinite higher Riesz transforms. Zbl 1187.42003
Kobayashi, Toshiyuki; Nilsson, Andreas
2009
Group invariance and $$L^p$$-bounded operators. Zbl 1256.47020
Kobayashi, Toshiyuki; Nilsson, Andreas
2008
Inversion of Rankin-Cohen operators via holographic transform. (Inversion des opérateurs de Rankin-Cohen par transformation holographique.) Zbl 1478.22009
Kobayashi, Toshiyuki; Pevzner, Michael
2020
Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs. Zbl 1404.22035
Kobayashi, Toshiyuki; Nasrin, Salma
2018
Intrinsic sound of anti-de Sitter manifolds. Zbl 1368.53048
Kobayashi, Toshiyuki
2016
Orthogonal polynomials associated to a certain fourth order differential equation. Zbl 1236.33017
Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan
2011
Invariant differential operators on spherical homogeneous spaces with overgroups. Zbl 1430.16027
Kassel, Fanny; Kobayashi, Toshiyuki
2019
Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad. Zbl 1460.22004
Kobayashi, Toshiyuki; Speh, Birgit
2018
Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group $$O(p,q)$$. Zbl 07374917
Kobayashi, Toshiyuki
2021
Conformal symmetry breaking operators for anti-de Sitter spaces. Zbl 1403.53081
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
2018
Bounded domains and the zero sets of Fourier transforms. Zbl 0840.43012
Kobayashi, Toshiyuki
1994
Varna lecture on $$L^2$$-analysis of minimal representations. Zbl 1273.22010
Kobayashi, Toshiyuki
2013
An integral formula for $$L ^{2}$$-eigenfunctions of a fourth-order Bessel-type differential operator. Zbl 1229.34129
Kobayashi, Toshiyuki; Möllers, Jan
2011
Special functions in minimal representations. Zbl 1408.22012
Kobayashi, Toshiyuki
2014
$$L^ p$$-analysis on homogeneous manifolds of reductive type and representation theory. Zbl 0883.22015
Kobayashi, Toshiyuki
1997
Classification of differential symmetry breaking operators for differential forms. (Classification des opérateurs de brisure de symétrie pour les formes différentielles.) Zbl 1341.58002
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
2016
Bounded multiplicity theorems for induction and restriction. Zbl 1493.22014
Kobayashi, Toshiyuki
2022
Representations of Lie groups and supergroups. Abstracts from the workshop held March 10–16, 2013. Zbl 1349.00189
2013
Representation theory and automorphic forms. Based on the symposium, Seoul, Korea, February 14–17, 2005. Zbl 1124.11004
2008
Tempered homogeneous spaces. III. Zbl 1483.22009
Benoist, Yves; Kobayashi, Toshiyuki
2021
Tempered homogeneous spaces. II. Zbl 07623926
Benoist, Yves; Kobayashi, Toshiyuki
2022
Bounded multiplicity theorems for induction and restriction. Zbl 1493.22014
Kobayashi, Toshiyuki
2022
Tempered homogeneous spaces. II. Zbl 07623926
Benoist, Yves; Kobayashi, Toshiyuki
2022
Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group $$O(p,q)$$. Zbl 07374917
Kobayashi, Toshiyuki
2021
Tempered homogeneous spaces. III. Zbl 1483.22009
Benoist, Yves; Kobayashi, Toshiyuki
2021
Spectral analysis on pseudo-Riemannian locally symmetric spaces. Zbl 1484.58016
Kassel, Fanny; Kobayashi, Toshiyuki
2020
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability. Zbl 1481.22011
Kobayashi, Toshiyuki
2020
Inversion of Rankin-Cohen operators via holographic transform. (Inversion des opérateurs de Rankin-Cohen par transformation holographique.) Zbl 1478.22009
Kobayashi, Toshiyuki; Pevzner, Michael
2020
Invariant differential operators on spherical homogeneous spaces with overgroups. Zbl 1430.16027
Kassel, Fanny; Kobayashi, Toshiyuki
2019
Symmetry breaking for representations of rank one orthogonal groups. II. Zbl 1421.81003
Kobayashi, Toshiyuki; Speh, Birgit
2018
Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs. Zbl 1404.22035
Kobayashi, Toshiyuki; Nasrin, Salma
2018
Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad. Zbl 1460.22004
Kobayashi, Toshiyuki; Speh, Birgit
2018
Conformal symmetry breaking operators for anti-de Sitter spaces. Zbl 1403.53081
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
2018
Global analysis by hidden symmetry. Zbl 1415.22012
Kobayashi, Toshiyuki
2017
Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs. Zbl 1342.22029
Kobayashi, Toshiyuki; Pevzner, Michael
2016
Differential symmetry breaking operators. I: General theory and F-method. Zbl 1338.22006
Kobayashi, Toshiyuki; Pevzner, Michael
2016
Poincaré series for non-Riemannian locally symmetric spaces. Zbl 1333.53073
Kassel, Fanny; Kobayashi, Toshiyuki
2016
Conformal symmetry breaking operators for differential forms on spheres. Zbl 1353.53002
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
2016
Intrinsic sound of anti-de Sitter manifolds. Zbl 1368.53048
Kobayashi, Toshiyuki
2016
Classification of differential symmetry breaking operators for differential forms. (Classification des opérateurs de brisure de symétrie pour les formes différentielles.) Zbl 1341.58002
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
2016
Symmetry breaking for representations of rank one orthogonal groups. Zbl 1334.22015
Kobayashi, Toshiyuki; Speh, Birgit
2015
Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044
Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír
2015
A program for branching problems in the representation theory of real reductive groups. Zbl 1348.22019
Kobayashi, Toshiyuki
2015
Classification of symmetric pairs with discretely decomposable restrictions of $$(\mathfrak{g},K)$$-modules. Zbl 1321.22016
Kobayashi, Toshiyuki; Oshima, Yoshiki
2015
Tempered reductive homogeneous spaces. Zbl 1332.22015
Benoist, Yves; Kobayashi, Toshiyuki
2015
Global uniqueness of small representations. Zbl 1376.11042
Kobayashi, Toshiyuki; Savin, Gordan
2015
F-method for symmetry breaking operators. Zbl 1311.22016
Kobayashi, Toshiyuki
2014
Classification of finite-multiplicity symmetric pairs. Zbl 1298.22015
Kobayashi, T.; Matsuki, T.
2014
Minimal representations via Bessel operators. Zbl 1294.22011
Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan
2014
Shintani functions, real spherical manifolds, and symmetry breaking operators. Zbl 1362.22018
Kobayashi, Toshiyuki
2014
Intertwining operators and the restriction of representations of rank-one orthogonal groups. (Opérateurs d’entrelacement et restriction des représentations des groupes orthogonaux de rang un.) Zbl 1283.22005
Kobayashi, Toshiyuki; Speh, Birgit
2014
Vector-valued covariant differential operators for the Möbius transformation. Zbl 1321.58033
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
2014
Special functions in minimal representations. Zbl 1408.22012
Kobayashi, Toshiyuki
2014
Finite multiplicity theorems for induction and restriction. Zbl 1317.22010
Kobayashi, Toshiyuki; Oshima, Toshio
2013
Propagation of multiplicity-freeness property for holomorphic vector bundles. Zbl 1284.32011
Kobayashi, Toshiyuki
2013
$$F$$-method for constructing equivariant differential operators. Zbl 1290.22008
Kobayashi, Toshiyuki
2013
Varna lecture on $$L^2$$-analysis of minimal representations. Zbl 1273.22010
Kobayashi, Toshiyuki
2013
Representations of Lie groups and supergroups. Abstracts from the workshop held March 10–16, 2013. Zbl 1349.00189
2013
Laguerre semigroup and Dunkl operators. Zbl 1255.43004
Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent
2012
Restrictions of generalized Verma modules to symmetric pairs. Zbl 1257.22014
Kobayashi, Toshiyuki
2012
Classification of discretely decomposable $$A_{\mathfrak q}(\lambda)$$ with respect to reductive symmetric pairs. Zbl 1255.22010
Kobayashi, Toshiyuki; Oshima, Yoshiki
2012
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Zbl 1264.22011
Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan; Ørsted, Bent
2012
The Schrödinger model for the minimal representation of the indefinite orthogonal group $$O(p,q)$$. Zbl 1225.22001
Kobayashi, Toshiyuki; Mano, Gen
2011
Generalized Bernstein-Reznikov integrals. Zbl 1207.42021
Clerc, Jean-Louis; Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael
2011
Geometric analysis on small unitary representations of $$\text{GL}(N, \mathbb R)$$. Zbl 1217.22003
Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael
2011
Special functions associated with a certain fourth-order differential equation. Zbl 1232.33014
Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan
2011
Branching problems of Zuckerman derived functor modules. Zbl 1236.22006
Kobayashi, Toshiyuki
2011
Stable spectrum for pseudo-Riemannian locally symmetric spaces. (Spectre stable pour les variétés pseudo-riemanniennes localement symétriques.) Zbl 1208.22013
Kassel, Fanny; Kobayashi, Toshiyuki
2011
Algebraic analysis of minimal representations. Zbl 1227.22015
Kobayashi, Toshiyuki
2011
Orthogonal polynomials associated to a certain fourth order differential equation. Zbl 1236.33017
Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan
2011
An integral formula for $$L ^{2}$$-eigenfunctions of a fourth-order Bessel-type differential operator. Zbl 1229.34129
Kobayashi, Toshiyuki; Möllers, Jan
2011
Generalized Fourier transforms $$\mathcal F_{k,a}$$. Zbl 1176.43003
Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent
2009
Hidden symmetries and spectrum of the Laplacian on an indefinite Riemannian manifold. Zbl 1172.58009
Kobayashi, Toshiyuki
2009
Composition formulas in the Weyl calculus. Zbl 1201.35187
Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael; Unterberger, André
2009
Indefinite higher Riesz transforms. Zbl 1187.42003
Kobayashi, Toshiyuki; Nilsson, Andreas
2009
Multiplicity-free theorems of the restrictions of unitary highest weight modules with respect to reductive symmetric pairs. Zbl 1304.22013
Kobayashi, Toshiyuki
2008
Group invariance and $$L^p$$-bounded operators. Zbl 1256.47020
Kobayashi, Toshiyuki; Nilsson, Andreas
2008
Representation theory and automorphic forms. Based on the symposium, Seoul, Korea, February 14–17, 2005. Zbl 1124.11004
2008
Visible actions on symmetric spaces. Zbl 1147.53041
Kobayashi, Toshiyuki
2007
A generalized Cartan decomposition for the double coset space $$(U(n_1)\times U(n_2)\times U(n_3))\setminus U(n)/(U(p)\times U(q))$$. Zbl 1124.22003
Kobayashi, Toshiyuki
2007
The inversion formula and holomorphic extension of the minimal representation of the conformal group. Zbl 1390.22010
Kobayashi, Toshiyuki; Mano, Gen
2007
Integral formula of the unitary inversion operator for the minimal representation of $$\text{O}(p,q)$$. Zbl 1230.22007
Kobayashi, Toshiyuki; Mano, Gen
2007
Deformation of properly discontinuous actions of $$\mathbb Z^{k}$$ on $$\mathbb R^{k+1}$$. Zbl 1124.57015
Kobayashi, Toshiyuki; Nasrin, Salma
2006
Multiplicity-free representations and visible actions on complex manifolds. Zbl 1085.22010
Kobayashi, Toshiyuki
2005
Compact Clifford-Klein forms of symmetric spaces – revisited. Zbl 1145.22011
Kobayashi, Toshiyuki; Yoshino, Taro
2005
Integral formulas for the minimal representation of $$O(p,2$$). Zbl 1100.22007
Kobayashi, Toshiyuki; Mano, Gen
2005
Restrictions of unitary representations of real reductive groups. Zbl 1072.22008
Kobayashi, Toshiyuki
2005
Theory of discretely decomposable restrictions of unitary representations of semisimple Lie groups and some applications. Zbl 1279.22018
Kobayashi, Toshiyuki
2005
Geometry of multiplicity-free representations of GL($$n$$), visible actions on flag varieties, and triunity. Zbl 1050.22018
Kobayashi, Toshiyuki
2004
Analysis on the minimal representation of O($$p,$$ $$q$$). III: Ultrahyperbolic equations on $$\mathbb{R}^{p-1,q-1}$$. Zbl 1039.22005
Kobayashi, Toshiyuki; Ørsted, Bent
2003
Analysis on the minimal representation of $$O(p,q)$$. I: Realization via conformal geometry. Zbl 1046.22004
Kobayashi, Toshiyuki; Ørsted, Bent
2003
Analysis on the minimal representation of $$\mathrm O(p,q)$$. II: Branching laws. Zbl 1049.22006
Kobayashi, Toshiyuki; Ørsted, Bent
2003
Multiplicity one theorem in the orbit method. Zbl 1048.22006
Kobayashi, Toshiyuki; Nasrin, Salma
2003
Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds. Zbl 1074.53031
Kobayashi, Toshiyuki
2003
Branching problems of unitary representations. Zbl 1008.43009
Kobayashi, Toshiyuki
2002
Introduction to actions of discrete groups on pseudo-Riemannian homogeneous manifolds. Zbl 1026.57029
Kobayashi, Toshiyuki
2002
Discontinuous groups for non-Riemannian homogeneous spaces. Zbl 1023.53031
Kobayashi, Toshiyuki
2001
Discretely decomposable restrictions of unitary representations of reductive Lie groups – examples and conjectures. Zbl 0959.22009
Kobayashi, Toshiyuki
2000
Discrete decomposability of the restriction of $$A_{{\mathfrak q}}(\lambda)$$ with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties. Zbl 0907.22016
Kobayashi, Toshiyuki
1998
Discrete decomposability of the restriction of $$A_q(\lambda)$$ with respect to reductive subgroups. II: Micro-local analysis and asymptotic $$K$$-support. Zbl 0910.22016
Kobayashi, Toshiyuki
1998
Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups. Zbl 0937.22008
Kobayashi, Toshiyuki
1998
Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds. Zbl 0891.22014
Kobayashi, Toshiyuki
1998
Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits. Zbl 0910.22010
Kobayashi, Toshiyuki; Ørsted, Bent
1998
A vanishing theorem for modular symbols on locally symmetric spaces. Zbl 0933.11027
Kobayashi, Toshiyuki; Oda, Takayuki
1998
Discontinuous groups and Clifford-Klein forms of pseudo-Riemannian homogeneous manifolds. Zbl 0899.43005
Kobayashi, Toshiyuki
1997
Invariant measures on homogeneous manifolds of reductive type. Zbl 0881.22013
Kobayashi, Toshiyuki
1997
$$L^ p$$-analysis on homogeneous manifolds of reductive type and representation theory. Zbl 0883.22015
Kobayashi, Toshiyuki
1997
Criterion for proper actions on homogeneous spaces of reductive groups. Zbl 0863.22010
Kobayashi, Toshiyuki
1996
Discrete decomposability of restriction of $$A_{\mathfrak q}(\lambda)$$ with respect to reductive subgroups and its applications. Zbl 0826.22015
Kobayashi, Toshiyuki
1994
Harmonic analysis on reduced homogeneous manifolds and unitary representation theory. Zbl 0895.22006
Kobayashi, Toshiyuki
1994
Bounded domains and the zero sets of Fourier transforms. Zbl 0840.43012
Kobayashi, Toshiyuki
1994
On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups. Zbl 0815.57029
Kobayashi, Toshiyuki
1993
The restriction of $$A_ q(\lambda)$$ to reductive subgroups. Zbl 0826.22014
Kobayashi, Toshiyuki
1993
Perturbation of domains in the Pompeiu problem. Zbl 0847.35090
Kobayashi, Toshiyuki
1993
Singular unitary representations and discrete series for indefinite Stiefel manifolds $$U(p,q;\mathbb{F})/U(p-m,q;\mathbb{F})$$. Zbl 0752.22007
Kobayashi, Toshiyuki
1992
A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type. Zbl 0799.53056
Kobayashi, Toshiyuki
1992
Discontinuous groups acting on homogeneous spaces of reductive type. Zbl 1193.22010
Kobayashi, Toshiyuki
1992
Note on Hirzebruch’s proportionality principle. Zbl 0726.57019
Kobayashi, Toshiyuki; Ono, Kaoru
1990
Proper action on a homogeneous space of reductive type. Zbl 0662.22008
Kobayashi, Toshiyuki
1989
Periodic Schrödinger operators on a manifold. Zbl 0655.58033
Kobayashi, Toshiyuki; Ono, Kaoru; Sunada, Toshikazu
1989
Asymptotic behaviour of the null variety for a convex domain in a non- positively curved space form. Zbl 0701.32008
Kobayashi, Toshiyuki
1989
all top 5

### Cited by 367 Authors

 61 Kobayashi, Toshiyuki 26 Ørsted, Bent 18 Frahm, Jan 17 Baklouti, Ali 13 Mejjaoli, Hatem 11 Pevzner, Michael 11 Somberg, Petr 11 Zhang, Genkai 10 Ben Saïd, Salem 10 Clerc, Jean-Louis 10 De Bie, Hendrik 9 Krötz, Bernhard J. 9 Schlichtkrull, Henrik 8 Bocheński, Maciej Franciszek 8 Nasrin, Salma 8 Tanaka, Yuichiro 8 Vargas, Jorge Antonio 7 Kassel, Fanny 7 Khlif, Fatma 7 Ólafsson, Gestur 6 Gourevitch, Dmitry 6 He, Haian 6 Hilgert, Joachim 6 Kubo, Toshihisa 6 Širola, Boris 6 Tralle, Aleksy E. 5 Bejar, Souhail 5 Harris, Benjamin 5 Loke, Hung Yean 5 Mano, Gen 5 Schwarz, Benjamin 4 Clare, Pierre 4 Dawson, Matthew 4 Deleaval, Luc 4 Furutani, Kenro 4 Ghobber, Saifallah 4 Günaydin, Murat 4 Juhl, Andreas 4 Křižka, Libor 4 Lian, Pan 4 Libine, Matvei 4 Markina, Irina 4 Morita, Yosuke 4 Quiroga-Barranco, Raul 4 Sasaki, Atsumu 4 Savin, Gordan 4 Sayag, Eitan 4 Seppänen, Henrik 4 Speh, Birgit 4 Tauchi, Taito 4 Yoshino, Taro 3 Aizenbud, Avraham 3 Benoist, Yves 3 Boubatra, Mohamed Amine 3 Boumuki, Nobutaka 3 Fernando, Sudarshan 3 Frenkel, Igor B. 3 He, Hongyu 3 Izumiya, Shyuichi 3 Jastrzębski, Piotr 3 Kédim, Imed 3 Knop, Friedrich 3 Koufany, Khalid 3 Mehdi, Salah 3 Nilsson, Andreas 3 Okuda, Takayuki 3 Oshima, Yoshiki 3 Post, Olaf 3 Sahi, Siddhartha 3 Sekiguchi, Hideko 3 Trimèche, Khalifa 2 Achab, Dehbia 2 Aristidou, Michael 2 Barbier, Sigiswald 2 Claerebout, Sam 2 Constales, Denis 2 Danciger, Jeffrey 2 Davidson, Mark Gregory 2 De Schepper, Nele 2 Demni, Nizar 2 Dobrev, Vladimir K. 2 Duflo, Michel 2 Fan, Qingzhai 2 Fang, Xiaochun 2 Fei, Minggang 2 Fischmann, Matthias 2 Gover, Ashwin Rod 2 Gustafsson, Henrik P. A. 2 Higuchi, Yusuke 2 Hochs, Peter 2 Huang, Jing-Song 2 Joung, Euihun 2 Kable, Anthony C. 2 Kannaka, Kazuki 2 Kawamura, Katsunori 2 Kha, Minh 2 Kitagawa, Masatoshi 2 Kleinschmidt, Axel 2 Kuchment, Peter A. 2 Li, Shanshan ...and 267 more Authors
all top 5

### Cited in 125 Serials

 44 International Journal of Mathematics 32 Journal of Functional Analysis 22 Proceedings of the Japan Academy. Series A 21 Journal of Lie Theory 18 Advances in Mathematics 13 Geometriae Dedicata 12 Transactions of the American Mathematical Society 10 Transformation Groups 9 Annales de l’Institut Fourier 8 Kyoto Journal of Mathematics 7 Journal of Algebra 7 Journal of the Mathematical Society of Japan 7 Mathematische Annalen 7 Selecta Mathematica. New Series 7 Integral Transforms and Special Functions 7 Representation Theory 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Complex Analysis and Operator Theory 7 Journal of Pseudo-Differential Operators and Applications 6 Duke Mathematical Journal 6 Mathematische Zeitschrift 6 Journal of High Energy Physics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Journal of Mathematical Analysis and Applications 5 Compositio Mathematica 5 Proceedings of the American Mathematical Society 4 Israel Journal of Mathematics 4 Journal of Mathematical Physics 4 Journal of Geometry and Physics 4 Inventiones Mathematicae 4 Memoirs of the American Mathematical Society 4 Pacific Journal of Mathematics 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Differential Geometry and its Applications 4 Algebras and Representation Theory 3 Letters in Mathematical Physics 3 The Journal of Fourier Analysis and Applications 3 The Ramanujan Journal 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Nuclear Physics. B 2 Arkiv för Matematik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin de la Société Mathématique de France 2 Canadian Journal of Mathematics 2 Revista de la Unión Matemática Argentina 2 Tôhoku Mathematical Journal. Second Series 2 Acta Applicandae Mathematicae 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 The Journal of Geometric Analysis 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Advances in Applied Clifford Algebras 2 Bulletin des Sciences Mathématiques 2 Acta Mathematica Sinica. English Series 2 Complex Variables and Elliptic Equations 2 Japanese Journal of Mathematics. 3rd Series 2 São Paulo Journal of Mathematical Sciences 1 Analysis Mathematica 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Hiroshima Mathematical Journal 1 Publications Mathématiques 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Geometry 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Semigroup Forum 1 European Journal of Combinatorics 1 Ergodic Theory and Dynamical Systems 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Journal of Symbolic Computation 1 Constructive Approximation 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Glasnik Matematički. Serija III 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) ...and 25 more Serials
all top 5

### Cited in 46 Fields

 294 Topological groups, Lie groups (22-XX) 126 Differential geometry (53-XX) 67 Nonassociative rings and algebras (17-XX) 66 Abstract harmonic analysis (43-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 48 Several complex variables and analytic spaces (32-XX) 45 Manifolds and cell complexes (57-XX) 45 Global analysis, analysis on manifolds (58-XX) 43 Special functions (33-XX) 42 Group theory and generalizations (20-XX) 36 Operator theory (47-XX) 27 Quantum theory (81-XX) 26 Number theory (11-XX) 24 Algebraic geometry (14-XX) 24 Partial differential equations (35-XX) 22 Functional analysis (46-XX) 20 Integral transforms, operational calculus (44-XX) 13 Functions of a complex variable (30-XX) 12 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Associative rings and algebras (16-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Relativity and gravitational theory (83-XX) 4 Real functions (26-XX) 3 Commutative algebra (13-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 2 Potential theory (31-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 $$K$$-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

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