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Kobayashi, Toshiyuki

Author ID: kobayashi.toshiyuki Recent zbMATH articles by "Kobayashi, Toshiyuki"
Published as: Kobayashi, Toshiyuki; Kobayashi, T.
Homepage: https://www.ms.u-tokyo.ac.jp/~toshi/
External Links: MGP · Wikidata · Google Scholar · ResearchGate · GND · IdRef · theses.fr
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Serials

8 Advances in Mathematics
8 Proceedings of the Japan Academy. Series A
5 Journal of Lie Theory
4 Journal of Functional Analysis
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 Journal of the Institute of Mathematics of Jussieu
1 Advanced Studies in Pure Mathematics
1 Progress in Mathematics
1 RIMS Kôkyûroku Bessatsu
1 Japanese Journal of Mathematics. 3rd Series

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 1,824 times in 538 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
81
1994
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
73
1998
Proper action on a homogeneous space of reductive type. Zbl 0662.22008
Kobayashi, Toshiyuki
70
1989
Laguerre semigroup and Dunkl operators. Zbl 1255.43004
Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent
70
2012
Finite multiplicity theorems for induction and restriction. Zbl 1317.22010
Kobayashi, Toshiyuki; Oshima, Toshio
56
2013
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
55
1998
Multiplicity-free theorems of the restrictions of unitary highest weight modules with respect to reductive symmetric pairs. Zbl 1304.22013
Kobayashi, Toshiyuki
53
2008
Symmetry breaking for representations of rank one orthogonal groups. Zbl 1334.22015
Kobayashi, Toshiyuki; Speh, Birgit
52
2015
The Schrödinger model for the minimal representation of the indefinite orthogonal group \(O(p,q)\). Zbl 1225.22001
Kobayashi, Toshiyuki; Mano, Gen
46
2011
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
45
2003
Multiplicity-free representations and visible actions on complex manifolds. Zbl 1085.22010
Kobayashi, Toshiyuki
43
2005
On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups. Zbl 0815.57029
Kobayashi, Toshiyuki
42
1993
Analysis on the minimal representation of \(O(p,q)\). I: Realization via conformal geometry. Zbl 1046.22004
Kobayashi, Toshiyuki; Ørsted, Bent
41
2003
Compact Clifford-Klein forms of symmetric spaces – revisited. Zbl 1145.22011
Kobayashi, Toshiyuki; Yoshino, Taro
40
2005
Analysis on the minimal representation of \(\mathrm O(p,q)\). II: Branching laws. Zbl 1049.22006
Kobayashi, Toshiyuki; Ørsted, Bent
36
2003
Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044
Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír
33
2015
Visible actions on symmetric spaces. Zbl 1147.53041
Kobayashi, Toshiyuki
31
2007
Criterion for proper actions on homogeneous spaces of reductive groups. Zbl 0863.22010
Kobayashi, Toshiyuki
30
1996
Discontinuous groups and Clifford-Klein forms of pseudo-Riemannian homogeneous manifolds. Zbl 0899.43005
Kobayashi, Toshiyuki
30
1997
Discontinuous groups for non-Riemannian homogeneous spaces. Zbl 1023.53031
Kobayashi, Toshiyuki
29
2001
Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs. Zbl 1342.22029
Kobayashi, Toshiyuki; Pevzner, Michael
29
2016
Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups. Zbl 0937.22008
Kobayashi, Toshiyuki
27
1998
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
25
1992
Restrictions of generalized Verma modules to symmetric pairs. Zbl 1257.22014
Kobayashi, Toshiyuki
25
2012
Differential symmetry breaking operators. I: General theory and F-method. Zbl 1338.22006
Kobayashi, Toshiyuki; Pevzner, Michael
25
2016
Symmetry breaking for representations of rank one orthogonal groups. II. Zbl 1421.81003
Kobayashi, Toshiyuki; Speh, Birgit
24
2018
Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds. Zbl 0891.22014
Kobayashi, Toshiyuki
23
1998
A program for branching problems in the representation theory of real reductive groups. Zbl 1348.22019
Kobayashi, Toshiyuki
23
2015
Classification of discretely decomposable \(A_{\mathfrak q}(\lambda)\) with respect to reductive symmetric pairs. Zbl 1255.22010
Kobayashi, Toshiyuki; Oshima, Yoshiki
23
2012
Generalized Bernstein-Reznikov integrals. Zbl 1207.42021
Clerc, Jean-Louis; Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael
22
2011
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
22
2007
Deformation of properly discontinuous actions of \(\mathbb Z^{k}\) on \(\mathbb R^{k+1}\). Zbl 1124.57015
Kobayashi, Toshiyuki; Nasrin, Salma
21
2006
Discontinuous groups acting on homogeneous spaces of reductive type. Zbl 1193.22010
Kobayashi, Toshiyuki
21
1992
Note on Hirzebruch’s proportionality principle. Zbl 0726.57019
Kobayashi, Toshiyuki; Ono, Kaoru
21
1990
Conformal symmetry breaking operators for differential forms on spheres. Zbl 1353.53002
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
20
2016
Classification of symmetric pairs with discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules. Zbl 1321.22016
Kobayashi, Toshiyuki; Oshima, Yoshiki
19
2015
Poincaré series for non-Riemannian locally symmetric spaces. Zbl 1333.53073
Kassel, Fanny; Kobayashi, Toshiyuki
19
2016
A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type. Zbl 0799.53056
Kobayashi, Toshiyuki
18
1992
Geometric analysis on small unitary representations of \(\text{GL}(N, \mathbb R)\). Zbl 1217.22003
Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael
18
2011
Shintani functions, real spherical manifolds, and symmetry breaking operators. Zbl 1362.22018
Kobayashi, Toshiyuki
18
2014
Classification of finite-multiplicity symmetric pairs. Zbl 1298.22015
Kobayashi, T.; Matsuki, T.
18
2014
Geometry of multiplicity-free representations of GL(\(n\)), visible actions on flag varieties, and triunity. Zbl 1050.22018
Kobayashi, Toshiyuki
17
2004
The restriction of \(A_ q(\lambda)\) to reductive subgroups. Zbl 0826.22014
Kobayashi, Toshiyuki
17
1993
F-method for symmetry breaking operators. Zbl 1311.22016
Kobayashi, Toshiyuki
17
2014
The inversion formula and holomorphic extension of the minimal representation of the conformal group. Zbl 1390.22010
Kobayashi, Toshiyuki; Mano, Gen
15
2007
Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits. Zbl 0910.22010
Kobayashi, Toshiyuki; Ørsted, Bent
15
1998
Minimal representations via Bessel operators. Zbl 1294.22011
Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan
15
2014
Discretely decomposable restrictions of unitary representations of reductive Lie groups – examples and conjectures. Zbl 0959.22009
Kobayashi, Toshiyuki
14
2000
Restrictions of unitary representations of real reductive groups. Zbl 1072.22008
Kobayashi, Toshiyuki
14
2005
Periodic Schrödinger operators on a manifold. Zbl 0655.58033
Kobayashi, Toshiyuki; Ono, Kaoru; Sunada, Toshikazu
14
1989
Integral formulas for the minimal representation of \(O(p,2\)). Zbl 1100.22007
Kobayashi, Toshiyuki; Mano, Gen
13
2005
Propagation of multiplicity-freeness property for holomorphic vector bundles. Zbl 1284.32011
Kobayashi, Toshiyuki
13
2013
Branching problems of Zuckerman derived functor modules. Zbl 1236.22006
Kobayashi, Toshiyuki
12
2011
Tempered reductive homogeneous spaces. Zbl 1332.22015
Benoist, Yves; Kobayashi, Toshiyuki
12
2015
Generalized Fourier transforms \(\mathcal F_{k,a}\). Zbl 1176.43003
Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent
11
2009
Multiplicity one theorem in the orbit method. Zbl 1048.22006
Kobayashi, Toshiyuki; Nasrin, Salma
11
2003
Integral formula of the unitary inversion operator for the minimal representation of \(\text{O}(p,q)\). Zbl 1230.22007
Kobayashi, Toshiyuki; Mano, Gen
10
2007
Branching problems of unitary representations. Zbl 1008.43009
Kobayashi, Toshiyuki
9
2002
Special functions associated with a certain fourth-order differential equation. Zbl 1232.33014
Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan
9
2011
Global analysis by hidden symmetry. Zbl 1415.22012
Kobayashi, Toshiyuki
9
2017
\(F\)-method for constructing equivariant differential operators. Zbl 1290.22008
Kobayashi, Toshiyuki
9
2013
Harmonic analysis on reduced homogeneous manifolds and unitary representation theory. Zbl 0895.22006
Kobayashi, Toshiyuki
8
1994
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Zbl 1264.22011
Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan; Ørsted, Bent
8
2012
Theory of discretely decomposable restrictions of unitary representations of semisimple Lie groups and some applications. Zbl 1279.22018
Kobayashi, Toshiyuki
7
2005
Hidden symmetries and spectrum of the Laplacian on an indefinite Riemannian manifold. Zbl 1172.58009
Kobayashi, Toshiyuki
7
2009
Global uniqueness of small representations. Zbl 1376.11042
Kobayashi, Toshiyuki; Savin, Gordan
6
2015
Composition formulas in the Weyl calculus. Zbl 1201.35187
Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael; Unterberger, André
6
2009
Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\). Zbl 1504.22015
Kobayashi, Toshiyuki
6
2021
Spectral analysis on pseudo-Riemannian locally symmetric spaces. Zbl 1484.58016
Kassel, Fanny; Kobayashi, Toshiyuki
6
2020
Vector-valued covariant differential operators for the Möbius transformation. Zbl 1321.58033
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
5
2014
Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs. Zbl 1404.22035
Kobayashi, Toshiyuki; Nasrin, Salma
5
2018
Perturbation of domains in the Pompeiu problem. Zbl 0847.35090
Kobayashi, Toshiyuki
5
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
5
2014
Asymptotic behaviour of the null variety for a convex domain in a non- positively curved space form. Zbl 0701.32008
Kobayashi, Toshiyuki
5
1989
Inversion of Rankin-Cohen operators via holographic transform. (Inversion des opérateurs de Rankin-Cohen par transformation holographique.) Zbl 1478.22009
Kobayashi, Toshiyuki; Pevzner, Michael
5
2020
Stable spectrum for pseudo-Riemannian locally symmetric spaces. (Spectre stable pour les variétés pseudo-riemanniennes localement symétriques.) Zbl 1208.22013
Kassel, Fanny; Kobayashi, Toshiyuki
4
2011
Invariant measures on homogeneous manifolds of reductive type. Zbl 0881.22013
Kobayashi, Toshiyuki
4
1997
A vanishing theorem for modular symbols on locally symmetric spaces. Zbl 0933.11027
Kobayashi, Toshiyuki; Oda, Takayuki
4
1998
Invariant differential operators on spherical homogeneous spaces with overgroups. Zbl 1430.16027
Kassel, Fanny; Kobayashi, Toshiyuki
3
2019
Introduction to actions of discrete groups on pseudo-Riemannian homogeneous manifolds. Zbl 1026.57029
Kobayashi, Toshiyuki
3
2002
Indefinite higher Riesz transforms. Zbl 1187.42003
Kobayashi, Toshiyuki; Nilsson, Andreas
3
2009
Algebraic analysis of minimal representations. Zbl 1227.22015
Kobayashi, Toshiyuki
3
2011
Group invariance and \(L^p\)-bounded operators. Zbl 1256.47020
Kobayashi, Toshiyuki; Nilsson, Andreas
3
2008
Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds. Zbl 1074.53031
Kobayashi, Toshiyuki
3
2003
Tempered homogeneous spaces. III. Zbl 1483.22009
Benoist, Yves; Kobayashi, Toshiyuki
3
2021
Bounded multiplicity theorems for induction and restriction. Zbl 1493.22014
Kobayashi, Toshiyuki
3
2022
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability. Zbl 1481.22011
Kobayashi, Toshiyuki
3
2020
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability. Zbl 1504.22016
Kobayashi, Toshiyuki
3
2021
Tempered homogeneous spaces. II. Zbl 1523.22016
Benoist, Yves; Kobayashi, Toshiyuki
3
2022
Intrinsic sound of anti-de Sitter manifolds. Zbl 1368.53048
Kobayashi, Toshiyuki
3
2016
Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad. Zbl 1460.22004
Kobayashi, Toshiyuki; Speh, Birgit
2
2018
Symmetry breaking operators for the restriction of representations of indefinite orthogonal groups \(O(p,q)\). Zbl 1384.22006
Kobayashi, Toshiyuki; Leontiev, Alex
2
2017
Orthogonal polynomials associated to a certain fourth order differential equation. Zbl 1236.33017
Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan
2
2011
Multiplicity in restricting small representations. Zbl 1508.22009
Kobayashi, Toshiyuki
2
2022
Conformal symmetry breaking operators for anti-de Sitter spaces. Zbl 1403.53081
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
1
2018
Varna lecture on \(L^2\)-analysis of minimal representations. Zbl 1273.22010
Kobayashi, Toshiyuki
1
2013
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
1
2016
Representations of Lie groups and supergroups. Abstracts from the workshop held March 10–16, 2013. Zbl 1349.00189
1
2013
Analysis on homogeneous spaces and representation theory of Lie groups. Based on activities of the RIMS Project Research ’97, Okayama-Kyoto, Japan, during July and August 1997. Zbl 0941.00016
1
2000
Bounded domains and the zero sets of Fourier transforms. Zbl 0840.43012
Kobayashi, Toshiyuki
1
1994
Tempered homogeneous spaces. IV. Zbl 07750914
Benoist, Yves; Kobayashi, Toshiyuki
1
2023
Bounded multiplicity theorems for induction and restriction. Zbl 1493.22014
Kobayashi, Toshiyuki
3
2022
Tempered homogeneous spaces. II. Zbl 1523.22016
Benoist, Yves; Kobayashi, Toshiyuki
3
2022
Multiplicity in restricting small representations. Zbl 1508.22009
Kobayashi, Toshiyuki
2
2022
Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\). Zbl 1504.22015
Kobayashi, Toshiyuki
6
2021
Tempered homogeneous spaces. III. Zbl 1483.22009
Benoist, Yves; Kobayashi, Toshiyuki
3
2021
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability. Zbl 1504.22016
Kobayashi, Toshiyuki
3
2021
Spectral analysis on pseudo-Riemannian locally symmetric spaces. Zbl 1484.58016
Kassel, Fanny; Kobayashi, Toshiyuki
6
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
5
2020
Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability. Zbl 1481.22011
Kobayashi, Toshiyuki
3
2020
Invariant differential operators on spherical homogeneous spaces with overgroups. Zbl 1430.16027
Kassel, Fanny; Kobayashi, Toshiyuki
3
2019
Symmetry breaking for representations of rank one orthogonal groups. II. Zbl 1421.81003
Kobayashi, Toshiyuki; Speh, Birgit
24
2018
Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs. Zbl 1404.22035
Kobayashi, Toshiyuki; Nasrin, Salma
5
2018
Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad. Zbl 1460.22004
Kobayashi, Toshiyuki; Speh, Birgit
2
2018
Conformal symmetry breaking operators for anti-de Sitter spaces. Zbl 1403.53081
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
1
2018
Global analysis by hidden symmetry. Zbl 1415.22012
Kobayashi, Toshiyuki
9
2017
Symmetry breaking operators for the restriction of representations of indefinite orthogonal groups \(O(p,q)\). Zbl 1384.22006
Kobayashi, Toshiyuki; Leontiev, Alex
2
2017
Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs. Zbl 1342.22029
Kobayashi, Toshiyuki; Pevzner, Michael
29
2016
Differential symmetry breaking operators. I: General theory and F-method. Zbl 1338.22006
Kobayashi, Toshiyuki; Pevzner, Michael
25
2016
Conformal symmetry breaking operators for differential forms on spheres. Zbl 1353.53002
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
20
2016
Poincaré series for non-Riemannian locally symmetric spaces. Zbl 1333.53073
Kassel, Fanny; Kobayashi, Toshiyuki
19
2016
Intrinsic sound of anti-de Sitter manifolds. Zbl 1368.53048
Kobayashi, Toshiyuki
3
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
1
2016
Symmetry breaking for representations of rank one orthogonal groups. Zbl 1334.22015
Kobayashi, Toshiyuki; Speh, Birgit
52
2015
Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044
Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír
33
2015
A program for branching problems in the representation theory of real reductive groups. Zbl 1348.22019
Kobayashi, Toshiyuki
23
2015
Classification of symmetric pairs with discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules. Zbl 1321.22016
Kobayashi, Toshiyuki; Oshima, Yoshiki
19
2015
Tempered reductive homogeneous spaces. Zbl 1332.22015
Benoist, Yves; Kobayashi, Toshiyuki
12
2015
Global uniqueness of small representations. Zbl 1376.11042
Kobayashi, Toshiyuki; Savin, Gordan
6
2015
Shintani functions, real spherical manifolds, and symmetry breaking operators. Zbl 1362.22018
Kobayashi, Toshiyuki
18
2014
Classification of finite-multiplicity symmetric pairs. Zbl 1298.22015
Kobayashi, T.; Matsuki, T.
18
2014
F-method for symmetry breaking operators. Zbl 1311.22016
Kobayashi, Toshiyuki
17
2014
Minimal representations via Bessel operators. Zbl 1294.22011
Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan
15
2014
Vector-valued covariant differential operators for the Möbius transformation. Zbl 1321.58033
Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael
5
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
5
2014
Special functions in minimal representations. Zbl 1408.22012
Kobayashi, Toshiyuki
1
2014
Finite multiplicity theorems for induction and restriction. Zbl 1317.22010
Kobayashi, Toshiyuki; Oshima, Toshio
56
2013
Propagation of multiplicity-freeness property for holomorphic vector bundles. Zbl 1284.32011
Kobayashi, Toshiyuki
13
2013
\(F\)-method for constructing equivariant differential operators. Zbl 1290.22008
Kobayashi, Toshiyuki
9
2013
Varna lecture on \(L^2\)-analysis of minimal representations. Zbl 1273.22010
Kobayashi, Toshiyuki
1
2013
Representations of Lie groups and supergroups. Abstracts from the workshop held March 10–16, 2013. Zbl 1349.00189
1
2013
Laguerre semigroup and Dunkl operators. Zbl 1255.43004
Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent
70
2012
Restrictions of generalized Verma modules to symmetric pairs. Zbl 1257.22014
Kobayashi, Toshiyuki
25
2012
Classification of discretely decomposable \(A_{\mathfrak q}(\lambda)\) with respect to reductive symmetric pairs. Zbl 1255.22010
Kobayashi, Toshiyuki; Oshima, Yoshiki
23
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
8
2012
The Schrödinger model for the minimal representation of the indefinite orthogonal group \(O(p,q)\). Zbl 1225.22001
Kobayashi, Toshiyuki; Mano, Gen
46
2011
Generalized Bernstein-Reznikov integrals. Zbl 1207.42021
Clerc, Jean-Louis; Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael
22
2011
Geometric analysis on small unitary representations of \(\text{GL}(N, \mathbb R)\). Zbl 1217.22003
Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael
18
2011
Branching problems of Zuckerman derived functor modules. Zbl 1236.22006
Kobayashi, Toshiyuki
12
2011
Special functions associated with a certain fourth-order differential equation. Zbl 1232.33014
Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan
9
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
4
2011
Algebraic analysis of minimal representations. Zbl 1227.22015
Kobayashi, Toshiyuki
3
2011
Orthogonal polynomials associated to a certain fourth order differential equation. Zbl 1236.33017
Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan
2
2011
An integral formula for \(L ^{2}\)-eigenfunctions of a fourth-order Bessel-type differential operator. Zbl 1229.34129
Kobayashi, Toshiyuki; Möllers, Jan
1
2011
Generalized Fourier transforms \(\mathcal F_{k,a}\). Zbl 1176.43003
Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent
11
2009
Hidden symmetries and spectrum of the Laplacian on an indefinite Riemannian manifold. Zbl 1172.58009
Kobayashi, Toshiyuki
7
2009
Composition formulas in the Weyl calculus. Zbl 1201.35187
Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael; Unterberger, André
6
2009
Indefinite higher Riesz transforms. Zbl 1187.42003
Kobayashi, Toshiyuki; Nilsson, Andreas
3
2009
Multiplicity-free theorems of the restrictions of unitary highest weight modules with respect to reductive symmetric pairs. Zbl 1304.22013
Kobayashi, Toshiyuki
53
2008
Group invariance and \(L^p\)-bounded operators. Zbl 1256.47020
Kobayashi, Toshiyuki; Nilsson, Andreas
3
2008
Representation theory and automorphic forms. Based on the symposium, Seoul, Korea, February 14–17, 2005. Zbl 1124.11004
1
2008
Visible actions on symmetric spaces. Zbl 1147.53041
Kobayashi, Toshiyuki
31
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
22
2007
The inversion formula and holomorphic extension of the minimal representation of the conformal group. Zbl 1390.22010
Kobayashi, Toshiyuki; Mano, Gen
15
2007
Integral formula of the unitary inversion operator for the minimal representation of \(\text{O}(p,q)\). Zbl 1230.22007
Kobayashi, Toshiyuki; Mano, Gen
10
2007
Deformation of properly discontinuous actions of \(\mathbb Z^{k}\) on \(\mathbb R^{k+1}\). Zbl 1124.57015
Kobayashi, Toshiyuki; Nasrin, Salma
21
2006
Multiplicity-free representations and visible actions on complex manifolds. Zbl 1085.22010
Kobayashi, Toshiyuki
43
2005
Compact Clifford-Klein forms of symmetric spaces – revisited. Zbl 1145.22011
Kobayashi, Toshiyuki; Yoshino, Taro
40
2005
Restrictions of unitary representations of real reductive groups. Zbl 1072.22008
Kobayashi, Toshiyuki
14
2005
Integral formulas for the minimal representation of \(O(p,2\)). Zbl 1100.22007
Kobayashi, Toshiyuki; Mano, Gen
13
2005
Theory of discretely decomposable restrictions of unitary representations of semisimple Lie groups and some applications. Zbl 1279.22018
Kobayashi, Toshiyuki
7
2005
Geometry of multiplicity-free representations of GL(\(n\)), visible actions on flag varieties, and triunity. Zbl 1050.22018
Kobayashi, Toshiyuki
17
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
45
2003
Analysis on the minimal representation of \(O(p,q)\). I: Realization via conformal geometry. Zbl 1046.22004
Kobayashi, Toshiyuki; Ørsted, Bent
41
2003
Analysis on the minimal representation of \(\mathrm O(p,q)\). II: Branching laws. Zbl 1049.22006
Kobayashi, Toshiyuki; Ørsted, Bent
36
2003
Multiplicity one theorem in the orbit method. Zbl 1048.22006
Kobayashi, Toshiyuki; Nasrin, Salma
11
2003
Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds. Zbl 1074.53031
Kobayashi, Toshiyuki
3
2003
Branching problems of unitary representations. Zbl 1008.43009
Kobayashi, Toshiyuki
9
2002
Introduction to actions of discrete groups on pseudo-Riemannian homogeneous manifolds. Zbl 1026.57029
Kobayashi, Toshiyuki
3
2002
Discontinuous groups for non-Riemannian homogeneous spaces. Zbl 1023.53031
Kobayashi, Toshiyuki
29
2001
Discretely decomposable restrictions of unitary representations of reductive Lie groups – examples and conjectures. Zbl 0959.22009
Kobayashi, Toshiyuki
14
2000
Analysis on homogeneous spaces and representation theory of Lie groups. Based on activities of the RIMS Project Research ’97, Okayama-Kyoto, Japan, during July and August 1997. Zbl 0941.00016
1
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
73
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
55
1998
Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups. Zbl 0937.22008
Kobayashi, Toshiyuki
27
1998
Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds. Zbl 0891.22014
Kobayashi, Toshiyuki
23
1998
Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits. Zbl 0910.22010
Kobayashi, Toshiyuki; Ørsted, Bent
15
1998
A vanishing theorem for modular symbols on locally symmetric spaces. Zbl 0933.11027
Kobayashi, Toshiyuki; Oda, Takayuki
4
1998
Discontinuous groups and Clifford-Klein forms of pseudo-Riemannian homogeneous manifolds. Zbl 0899.43005
Kobayashi, Toshiyuki
30
1997
Invariant measures on homogeneous manifolds of reductive type. Zbl 0881.22013
Kobayashi, Toshiyuki
4
1997
\(L^ p\)-analysis on homogeneous manifolds of reductive type and representation theory. Zbl 0883.22015
Kobayashi, Toshiyuki
1
1997
Criterion for proper actions on homogeneous spaces of reductive groups. Zbl 0863.22010
Kobayashi, Toshiyuki
30
1996
Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications. Zbl 0826.22015
Kobayashi, Toshiyuki
81
1994
Harmonic analysis on reduced homogeneous manifolds and unitary representation theory. Zbl 0895.22006
Kobayashi, Toshiyuki
8
1994
Bounded domains and the zero sets of Fourier transforms. Zbl 0840.43012
Kobayashi, Toshiyuki
1
1994
On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups. Zbl 0815.57029
Kobayashi, Toshiyuki
42
1993
The restriction of \(A_ q(\lambda)\) to reductive subgroups. Zbl 0826.22014
Kobayashi, Toshiyuki
17
1993
Perturbation of domains in the Pompeiu problem. Zbl 0847.35090
Kobayashi, Toshiyuki
5
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
25
1992
Discontinuous groups acting on homogeneous spaces of reductive type. Zbl 1193.22010
Kobayashi, Toshiyuki
21
1992
...and 5 more Documents
all top 5

Cited by 419 Authors

65 Kobayashi, Toshiyuki
28 Ørsted, Bent
21 Frahm, Jan
20 Mejjaoli, Hatem
18 Baklouti, Ali
13 Zhang, Genkai
12 Ben Saïd, Salem
11 Clerc, Jean-Louis
11 Pevzner, Michael
11 Somberg, Petr
10 De Bie, Hendrik
10 Tanaka, Yuichiro
9 Bocheński, Maciej Franciszek
9 He, Haian
9 Krötz, Bernhard J.
9 Schlichtkrull, Henrik
8 Nasrin, Salma
8 Ólafsson, Gestur
8 Vargas, Jorge Antonio
7 Kassel, Fanny
7 Khlif, Fatma
7 Tralle, Aleksy E.
6 Bejar, Souhail
6 Gourevitch, Dmitry
6 Hilgert, Joachim
6 Kubo, Toshihisa
6 Širola, Boris
5 Harris, Benjamin
5 Juhl, Andreas
5 Loke, Hung Yean
5 Mano, Gen
5 Negzaoui, Selma
5 Savin, Gordan
5 Schwarz, Benjamin
5 Sekiguchi, Hideko
4 Benoist, Yves
4 Boubatra, Mohamed Amine
4 Clare, Pierre
4 Dawson, Matthew
4 Deleaval, Luc
4 Furutani, Kenro
4 Ghobber, Saifallah
4 Günaydin, Murat
4 Jastrzębski, Piotr
4 Křižka, Libor
4 Lian, Pan
4 Libine, Matvei
4 Markina, Irina
4 Morita, Yosuke
4 Oshima, Yoshiki
4 Quiroga-Barranco, Raul
4 Sasaki, Atsumu
4 Sayag, Eitan
4 Seppänen, Henrik
4 Speh, Birgit
4 Tauchi, Taito
4 Trimèche, Khalifa
4 Yoshino, Taro
3 Aizenbud, Avraham
3 Barbier, Sigiswald
3 Boumuki, Nobutaka
3 Claerebout, Sam
3 Fei, Minggang
3 Fernando, Sudarshan
3 Frenkel, Igor B.
3 He, Hongyu
3 Huang, Jing-Song
3 Ivanov, Valerĭ Ivanovich
3 Izumiya, Shyuichi
3 Kannaka, Kazuki
3 Kédim, Imed
3 Kitagawa, Masatoshi
3 Knop, Friedrich
3 Koufany, Khalid
3 Labriet, Quentin
3 Mehdi, Salah
3 Neretin, Yuriĭ Aleksandrovich
3 Nilsson, Andreas
3 Okuda, Takayuki
3 Paradan, Paul-Emile
3 Post, Olaf
3 Sahi, Siddhartha
3 Shah, Firdous Ahmad
3 Su, Feng
3 Weiske, Clemens
2 Achab, Dehbia
2 Aristidou, Michael
2 Bekaert, Xavier
2 Cahen, Benjamin
2 Constales, Denis
2 Cowling, Michael G.
2 Danciger, Jeffrey
2 Davidson, Mark Gregory
2 De Schepper, Nele
2 Demni, Nizar
2 Dobrev, Vladimir K.
2 Duflo, Michel
2 Edelman, Alan Stuart
2 Fan, Qingzhai
2 Fang, Xiaochun
...and 319 more Authors
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Cited in 138 Serials

52 International Journal of Mathematics
36 Journal of Functional Analysis
28 Journal of Lie Theory
22 Proceedings of the Japan Academy. Series A
19 Advances in Mathematics
13 Geometriae Dedicata
12 Transactions of the American Mathematical Society
11 Transformation Groups
10 Annales de l’Institut Fourier
9 Selecta Mathematica. New Series
9 Representation Theory
9 Journal of Pseudo-Differential Operators and Applications
9 Kyoto Journal of Mathematics
8 Journal of the Mathematical Society of Japan
8 Integral Transforms and Special Functions
8 Journal of High Energy Physics
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Complex Analysis and Operator Theory
7 Journal of Mathematical Physics
7 Journal of Algebra
7 Mathematische Annalen
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Duke Mathematical Journal
6 Mathematische Zeitschrift
5 Journal of Mathematical Analysis and Applications
5 Compositio Mathematica
5 Proceedings of the American Mathematical Society
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Forum Mathematicum
5 Differential Geometry and its Applications
4 Israel Journal of Mathematics
4 Letters in Mathematical Physics
4 Mathematical Notes
4 Journal of Geometry and Physics
4 Inventiones Mathematicae
4 Memoirs of the American Mathematical Society
4 Pacific Journal of Mathematics
4 Algebras and Representation Theory
3 Revista de la Unión Matemática Argentina
3 The Journal of Geometric Analysis
3 The Journal of Fourier Analysis and Applications
3 The Ramanujan Journal
3 Acta Mathematica Sinica. English Series
3 Journal of the Institute of Mathematics of Jussieu
2 Applicable Analysis
2 Bulletin of the Australian Mathematical Society
2 Communications in Algebra
2 Communications in Mathematical Physics
2 Linear and Multilinear Algebra
2 Mathematical Methods in the Applied Sciences
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 Journal of Number Theory
2 Results in Mathematics
2 Tôhoku Mathematical Journal. Second Series
2 Acta Applicandae Mathematicae
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New Series
2 Advances in Applied Clifford Algebras
2 Bulletin des Sciences Mathématiques
2 Journal of Algebra and its Applications
2 Mediterranean Journal of Mathematics
2 Complex Variables and Elliptic Equations
2 Japanese Journal of Mathematics. 3rd Series
2 São Paulo Journal of Mathematical Sciences
2 Forum of Mathematics, Sigma
1 Analysis Mathematica
1 Journal d’Analyse Mathématique
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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archivum Mathematicum
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 Differential Geometry
1 Journal of Geometry
1 Journal of Pure and Applied Algebra
1 Kyungpook Mathematical Journal
1 Manuscripta Mathematica
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the London Mathematical Society. Third Series
1 Semigroup Forum
1 European Journal of Combinatorics
1 Ergodic Theory and Dynamical Systems
1 Systems & Control Letters
...and 38 more Serials
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Cited in 46 Fields

337 Topological groups, Lie groups (22-XX)
141 Differential geometry (53-XX)
83 Abstract harmonic analysis (43-XX)
77 Nonassociative rings and algebras (17-XX)
66 Harmonic analysis on Euclidean spaces (42-XX)
55 Several complex variables and analytic spaces (32-XX)
51 Special functions (33-XX)
49 Manifolds and cell complexes (57-XX)
49 Global analysis, analysis on manifolds (58-XX)
46 Operator theory (47-XX)
44 Group theory and generalizations (20-XX)
34 Number theory (11-XX)
34 Quantum theory (81-XX)
31 Integral transforms, operational calculus (44-XX)
29 Algebraic geometry (14-XX)
25 Partial differential equations (35-XX)
24 Functional analysis (46-XX)
13 Functions of a complex variable (30-XX)
12 Combinatorics (05-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Associative rings and algebras (16-XX)
8 Real functions (26-XX)
8 Ordinary differential equations (34-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Relativity and gravitational theory (83-XX)
4 Numerical analysis (65-XX)
3 Integral equations (45-XX)
2 Commutative algebra (13-XX)
2 Potential theory (31-XX)
2 Approximations and expansions (41-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 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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