Edit Profile (opens in new tab) Kobayashi, Toshiyuki Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0826.22015Kobayashi, Toshiyuki 68 1994 Proper action on a homogeneous space of reductive type. Zbl 0662.22008Kobayashi, Toshiyuki 64 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 0907.22016Kobayashi, Toshiyuki 61 1998 Laguerre semigroup and Dunkl operators. Zbl 1255.43004Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent 49 2012 Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support. Zbl 0910.22016Kobayashi, Toshiyuki 47 1998 Finite multiplicity theorems for induction and restriction. Zbl 1317.22010Kobayashi, Toshiyuki; Oshima, Toshio 47 2013 On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups. Zbl 0815.57029Kobayashi, Toshiyuki 40 1993 Analysis on the minimal representation of O(\(p,\) \(q\)). III: Ultrahyperbolic equations on \(\mathbb{R}^{p-1,q-1}\). Zbl 1039.22005Kobayashi, Toshiyuki; Ørsted, Bent 39 2003 Symmetry breaking for representations of rank one orthogonal groups. Zbl 1334.22015Kobayashi, Toshiyuki; Speh, Birgit 39 2015 Analysis on the minimal representation of \(O(p,q)\). I: Realization via conformal geometry. Zbl 1046.22004Kobayashi, Toshiyuki; Ørsted, Bent 38 2003 Multiplicity-free theorems of the restrictions of unitary highest weight modules with respect to reductive symmetric pairs. Zbl 1304.22013Kobayashi, Toshiyuki 37 2008 The Schrödinger model for the minimal representation of the indefinite orthogonal group \(O(p,q)\). Zbl 1225.22001Kobayashi, Toshiyuki; Mano, Gen 33 2011 Multiplicity-free representations and visible actions on complex manifolds. Zbl 1085.22010Kobayashi, Toshiyuki 33 2005 Compact Clifford-Klein forms of symmetric spaces – revisited. Zbl 1145.22011Kobayashi, Toshiyuki; Yoshino, Taro 33 2005 Analysis on the minimal representation of \(\mathrm O(p,q)\). II: Branching laws. Zbl 1049.22006Kobayashi, Toshiyuki; Ørsted, Bent 30 2003 Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír 28 2015 Criterion for proper actions on homogeneous spaces of reductive groups. Zbl 0863.22010Kobayashi, Toshiyuki 27 1996 Visible actions on symmetric spaces. Zbl 1147.53041Kobayashi, Toshiyuki 26 2007 Discontinuous groups and Clifford-Klein forms of pseudo-Riemannian homogeneous manifolds. Zbl 0899.43005Kobayashi, Toshiyuki 25 1997 Discontinuous groups for non-Riemannian homogeneous spaces. Zbl 1023.53031Kobayashi, Toshiyuki 24 2001 Restrictions of generalized Verma modules to symmetric pairs. Zbl 1257.22014Kobayashi, Toshiyuki 23 2012 Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups. Zbl 0937.22008Kobayashi, Toshiyuki 23 1998 Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs. Zbl 1342.22029Kobayashi, Toshiyuki; Pevzner, Michael 23 2016 Singular unitary representations and discrete series for indefinite Stiefel manifolds \(U(p,q;\mathbb{F})/U(p-m,q;\mathbb{F})\). Zbl 0752.22007Kobayashi, Toshiyuki 21 1992 Differential symmetry breaking operators. I: General theory and F-method. Zbl 1338.22006Kobayashi, Toshiyuki; Pevzner, Michael 21 2016 Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds. Zbl 0891.22014Kobayashi, Toshiyuki 20 1998 Generalized Bernstein-Reznikov integrals. Zbl 1207.42021Clerc, Jean-Louis; Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael 18 2011 Deformation of properly discontinuous actions of \(\mathbb Z^{k}\) on \(\mathbb R^{k+1}\). Zbl 1124.57015Kobayashi, Toshiyuki; Nasrin, Salma 18 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 1124.22003Kobayashi, Toshiyuki 18 2007 A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type. Zbl 0799.53056Kobayashi, Toshiyuki 17 1992 The restriction of \(A_ q(\lambda)\) to reductive subgroups. Zbl 0826.22014Kobayashi, Toshiyuki 17 1993 Classification of discretely decomposable \(A_{\mathfrak q}(\lambda)\) with respect to reductive symmetric pairs. Zbl 1255.22010Kobayashi, Toshiyuki; Oshima, Yoshiki 16 2012 Geometric analysis on small unitary representations of \(\text{GL}(N, \mathbb R)\). Zbl 1217.22003Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael 16 2011 F-method for symmetry breaking operators. Zbl 1311.22016Kobayashi, Toshiyuki 16 2014 Note on Hirzebruch’s proportionality principle. Zbl 0726.57019Kobayashi, Toshiyuki; Ono, Kaoru 16 1990 Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits. Zbl 0910.22010Kobayashi, Toshiyuki; Ørsted, Bent 15 1998 Geometry of multiplicity-free representations of GL(\(n\)), visible actions on flag varieties, and triunity. Zbl 1050.22018Kobayashi, Toshiyuki 15 2004 A program for branching problems in the representation theory of real reductive groups. Zbl 1348.22019Kobayashi, Toshiyuki 15 2015 Poincaré series for non-Riemannian locally symmetric spaces. Zbl 1333.53073Kassel, Fanny; Kobayashi, Toshiyuki 15 2016 Discontinuous groups acting on homogeneous spaces of reductive type. Zbl 1193.22010Kobayashi, Toshiyuki 15 1992 Conformal symmetry breaking operators for differential forms on spheres. Zbl 1353.53002Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael 14 2016 Classification of finite-multiplicity symmetric pairs. Zbl 1298.22015Kobayashi, T.; Matsuki, T. 14 2014 Integral formulas for the minimal representation of \(O(p,2\)). Zbl 1100.22007Kobayashi, Toshiyuki; Mano, Gen 14 2005 Periodic Schrödinger operators on a manifold. Zbl 0655.58033Kobayashi, Toshiyuki; Ono, Kaoru; Sunada, Toshikazu 14 1989 Symmetry breaking for representations of rank one orthogonal groups. II. Zbl 1421.81003Kobayashi, Toshiyuki; Speh, Birgit 13 2018 The inversion formula and holomorphic extension of the minimal representation of the conformal group. Zbl 1390.22010Kobayashi, Toshiyuki; Mano, Gen 13 2007 Discretely decomposable restrictions of unitary representations of reductive Lie groups – examples and conjectures. Zbl 0959.22009Kobayashi, Toshiyuki 12 2000 Minimal representations via Bessel operators. Zbl 1294.22011Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan 12 2014 Restrictions of unitary representations of real reductive groups. Zbl 1072.22008Kobayashi, Toshiyuki 12 2005 Shintani functions, real spherical manifolds, and symmetry breaking operators. Zbl 1362.22018Kobayashi, Toshiyuki 12 2014 Classification of symmetric pairs with discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules. Zbl 1321.22016Kobayashi, Toshiyuki; Oshima, Yoshiki 12 2015 Propagation of multiplicity-freeness property for holomorphic vector bundles. Zbl 1284.32011Kobayashi, Toshiyuki 11 2013 Tempered reductive homogeneous spaces. Zbl 1332.22015Benoist, Yves; Kobayashi, Toshiyuki 10 2015 Integral formula of the unitary inversion operator for the minimal representation of \(\text{O}(p,q)\). Zbl 1230.22007Kobayashi, Toshiyuki; Mano, Gen 10 2007 Special functions associated with a certain fourth-order differential equation. Zbl 1232.33014Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan 9 2011 Branching problems of unitary representations. Zbl 1008.43009Kobayashi, Toshiyuki 8 2002 Branching problems of Zuckerman derived functor modules. Zbl 1236.22006Kobayashi, Toshiyuki 8 2011 Multiplicity one theorem in the orbit method. Zbl 1048.22006Kobayashi, Toshiyuki; Nasrin, Salma 8 2003 Generalized Fourier transforms \(\mathcal F_{k,a}\). Zbl 1176.43003Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent 7 2009 Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Zbl 1264.22011Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan; Ørsted, Bent 7 2012 Hidden symmetries and spectrum of the Laplacian on an indefinite Riemannian manifold. Zbl 1172.58009Kobayashi, Toshiyuki 6 2009 \(F\)-method for constructing equivariant differential operators. Zbl 1290.22008Kobayashi, Toshiyuki 6 2013 Harmonic analysis on reduced homogeneous manifolds and unitary representation theory. Zbl 0895.22006Kobayashi, Toshiyuki 6 1994 Theory of discretely decomposable restrictions of unitary representations of semisimple Lie groups and some applications. Zbl 1279.22018Kobayashi, Toshiyuki 6 2005 Perturbation of domains in the Pompeiu problem. Zbl 0847.35090Kobayashi, 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 1283.22005Kobayashi, Toshiyuki; Speh, Birgit 5 2014 Global analysis by hidden symmetry. Zbl 1415.22012Kobayashi, Toshiyuki 5 2017 Asymptotic behaviour of the null variety for a convex domain in a non- positively curved space form. Zbl 0701.32008Kobayashi, Toshiyuki 5 1989 Composition formulas in the Weyl calculus. Zbl 1201.35187Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael; Unterberger, André 4 2009 Invariant measures on homogeneous manifolds of reductive type. Zbl 0881.22013Kobayashi, Toshiyuki 4 1997 Spectral analysis on pseudo-Riemannian locally symmetric spaces. Zbl 1484.58016Kassel, Fanny; Kobayashi, Toshiyuki 4 2020 Vector-valued covariant differential operators for the Möbius transformation. Zbl 1321.58033Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael 4 2014 Global uniqueness of small representations. Zbl 1376.11042Kobayashi, Toshiyuki; Savin, Gordan 4 2015 Stable spectrum for pseudo-Riemannian locally symmetric spaces. (Spectre stable pour les variétés pseudo-riemanniennes localement symétriques.) Zbl 1208.22013Kassel, Fanny; Kobayashi, Toshiyuki 4 2011 Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability. Zbl 1481.22011Kobayashi, Toshiyuki 3 2020 Algebraic analysis of minimal representations. Zbl 1227.22015Kobayashi, Toshiyuki 3 2011 Introduction to actions of discrete groups on pseudo-Riemannian homogeneous manifolds. Zbl 1026.57029Kobayashi, Toshiyuki 3 2002 Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds. Zbl 1074.53031Kobayashi, Toshiyuki 3 2003 A vanishing theorem for modular symbols on locally symmetric spaces. Zbl 0933.11027Kobayashi, Toshiyuki; Oda, Takayuki 3 1998 Indefinite higher Riesz transforms. Zbl 1187.42003Kobayashi, Toshiyuki; Nilsson, Andreas 3 2009 Group invariance and \(L^p\)-bounded operators. Zbl 1256.47020Kobayashi, Toshiyuki; Nilsson, Andreas 3 2008 Inversion of Rankin-Cohen operators via holographic transform. (Inversion des opérateurs de Rankin-Cohen par transformation holographique.) Zbl 1478.22009Kobayashi, Toshiyuki; Pevzner, Michael 2 2020 Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs. Zbl 1404.22035Kobayashi, Toshiyuki; Nasrin, Salma 2 2018 Intrinsic sound of anti-de Sitter manifolds. Zbl 1368.53048Kobayashi, Toshiyuki 2 2016 Orthogonal polynomials associated to a certain fourth order differential equation. Zbl 1236.33017Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan 2 2011 Invariant differential operators on spherical homogeneous spaces with overgroups. Zbl 1430.16027Kassel, Fanny; Kobayashi, Toshiyuki 2 2019 Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad. Zbl 1460.22004Kobayashi, Toshiyuki; Speh, Birgit 2 2018 Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\). Zbl 07374917Kobayashi, Toshiyuki 2 2021 Conformal symmetry breaking operators for anti-de Sitter spaces. Zbl 1403.53081Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael 1 2018 Bounded domains and the zero sets of Fourier transforms. Zbl 0840.43012Kobayashi, Toshiyuki 1 1994 Varna lecture on \(L^2\)-analysis of minimal representations. Zbl 1273.22010Kobayashi, Toshiyuki 1 2013 An integral formula for \(L ^{2}\)-eigenfunctions of a fourth-order Bessel-type differential operator. Zbl 1229.34129Kobayashi, Toshiyuki; Möllers, Jan 1 2011 Special functions in minimal representations. Zbl 1408.22012Kobayashi, Toshiyuki 1 2014 \(L^ p\)-analysis on homogeneous manifolds of reductive type and representation theory. Zbl 0883.22015Kobayashi, Toshiyuki 1 1997 Classification of differential symmetry breaking operators for differential forms. (Classification des opérateurs de brisure de symétrie pour les formes différentielles.) Zbl 1341.58002Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael 1 2016 Bounded multiplicity theorems for induction and restriction. Zbl 1493.22014Kobayashi, Toshiyuki 1 2022 Representations of Lie groups and supergroups. Abstracts from the workshop held March 10–16, 2013. Zbl 1349.00189 1 2013 Representation theory and automorphic forms. Based on the symposium, Seoul, Korea, February 14–17, 2005. Zbl 1124.11004 1 2008 Tempered homogeneous spaces. III. Zbl 1483.22009Benoist, Yves; Kobayashi, Toshiyuki 1 2021 Tempered homogeneous spaces. II. Zbl 07623926Benoist, Yves; Kobayashi, Toshiyuki 1 2022 Bounded multiplicity theorems for induction and restriction. Zbl 1493.22014Kobayashi, Toshiyuki 1 2022 Tempered homogeneous spaces. II. Zbl 07623926Benoist, Yves; Kobayashi, Toshiyuki 1 2022 Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\). Zbl 07374917Kobayashi, Toshiyuki 2 2021 Tempered homogeneous spaces. III. Zbl 1483.22009Benoist, Yves; Kobayashi, Toshiyuki 1 2021 Spectral analysis on pseudo-Riemannian locally symmetric spaces. Zbl 1484.58016Kassel, Fanny; Kobayashi, Toshiyuki 4 2020 Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability. Zbl 1481.22011Kobayashi, Toshiyuki 3 2020 Inversion of Rankin-Cohen operators via holographic transform. (Inversion des opérateurs de Rankin-Cohen par transformation holographique.) Zbl 1478.22009Kobayashi, Toshiyuki; Pevzner, Michael 2 2020 Invariant differential operators on spherical homogeneous spaces with overgroups. Zbl 1430.16027Kassel, Fanny; Kobayashi, Toshiyuki 2 2019 Symmetry breaking for representations of rank one orthogonal groups. II. Zbl 1421.81003Kobayashi, Toshiyuki; Speh, Birgit 13 2018 Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs. Zbl 1404.22035Kobayashi, Toshiyuki; Nasrin, Salma 2 2018 Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad. Zbl 1460.22004Kobayashi, Toshiyuki; Speh, Birgit 2 2018 Conformal symmetry breaking operators for anti-de Sitter spaces. Zbl 1403.53081Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael 1 2018 Global analysis by hidden symmetry. Zbl 1415.22012Kobayashi, Toshiyuki 5 2017 Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs. Zbl 1342.22029Kobayashi, Toshiyuki; Pevzner, Michael 23 2016 Differential symmetry breaking operators. I: General theory and F-method. Zbl 1338.22006Kobayashi, Toshiyuki; Pevzner, Michael 21 2016 Poincaré series for non-Riemannian locally symmetric spaces. Zbl 1333.53073Kassel, Fanny; Kobayashi, Toshiyuki 15 2016 Conformal symmetry breaking operators for differential forms on spheres. Zbl 1353.53002Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael 14 2016 Intrinsic sound of anti-de Sitter manifolds. Zbl 1368.53048Kobayashi, Toshiyuki 2 2016 Classification of differential symmetry breaking operators for differential forms. (Classification des opérateurs de brisure de symétrie pour les formes différentielles.) Zbl 1341.58002Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael 1 2016 Symmetry breaking for representations of rank one orthogonal groups. Zbl 1334.22015Kobayashi, Toshiyuki; Speh, Birgit 39 2015 Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír 28 2015 A program for branching problems in the representation theory of real reductive groups. Zbl 1348.22019Kobayashi, Toshiyuki 15 2015 Classification of symmetric pairs with discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules. Zbl 1321.22016Kobayashi, Toshiyuki; Oshima, Yoshiki 12 2015 Tempered reductive homogeneous spaces. Zbl 1332.22015Benoist, Yves; Kobayashi, Toshiyuki 10 2015 Global uniqueness of small representations. Zbl 1376.11042Kobayashi, Toshiyuki; Savin, Gordan 4 2015 F-method for symmetry breaking operators. Zbl 1311.22016Kobayashi, Toshiyuki 16 2014 Classification of finite-multiplicity symmetric pairs. Zbl 1298.22015Kobayashi, T.; Matsuki, T. 14 2014 Minimal representations via Bessel operators. Zbl 1294.22011Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan 12 2014 Shintani functions, real spherical manifolds, and symmetry breaking operators. Zbl 1362.22018Kobayashi, Toshiyuki 12 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 1283.22005Kobayashi, Toshiyuki; Speh, Birgit 5 2014 Vector-valued covariant differential operators for the Möbius transformation. Zbl 1321.58033Kobayashi, Toshiyuki; Kubo, Toshihisa; Pevzner, Michael 4 2014 Special functions in minimal representations. Zbl 1408.22012Kobayashi, Toshiyuki 1 2014 Finite multiplicity theorems for induction and restriction. Zbl 1317.22010Kobayashi, Toshiyuki; Oshima, Toshio 47 2013 Propagation of multiplicity-freeness property for holomorphic vector bundles. Zbl 1284.32011Kobayashi, Toshiyuki 11 2013 \(F\)-method for constructing equivariant differential operators. Zbl 1290.22008Kobayashi, Toshiyuki 6 2013 Varna lecture on \(L^2\)-analysis of minimal representations. Zbl 1273.22010Kobayashi, 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 1255.43004Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent 49 2012 Restrictions of generalized Verma modules to symmetric pairs. Zbl 1257.22014Kobayashi, Toshiyuki 23 2012 Classification of discretely decomposable \(A_{\mathfrak q}(\lambda)\) with respect to reductive symmetric pairs. Zbl 1255.22010Kobayashi, Toshiyuki; Oshima, Yoshiki 16 2012 Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Zbl 1264.22011Hilgert, Joachim; Kobayashi, Toshiyuki; Möllers, Jan; Ørsted, Bent 7 2012 The Schrödinger model for the minimal representation of the indefinite orthogonal group \(O(p,q)\). Zbl 1225.22001Kobayashi, Toshiyuki; Mano, Gen 33 2011 Generalized Bernstein-Reznikov integrals. Zbl 1207.42021Clerc, Jean-Louis; Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael 18 2011 Geometric analysis on small unitary representations of \(\text{GL}(N, \mathbb R)\). Zbl 1217.22003Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael 16 2011 Special functions associated with a certain fourth-order differential equation. Zbl 1232.33014Hilgert, Joachim; Kobayashi, Toshiyuki; Mano, Gen; Möllers, Jan 9 2011 Branching problems of Zuckerman derived functor modules. Zbl 1236.22006Kobayashi, Toshiyuki 8 2011 Stable spectrum for pseudo-Riemannian locally symmetric spaces. (Spectre stable pour les variétés pseudo-riemanniennes localement symétriques.) Zbl 1208.22013Kassel, Fanny; Kobayashi, Toshiyuki 4 2011 Algebraic analysis of minimal representations. Zbl 1227.22015Kobayashi, Toshiyuki 3 2011 Orthogonal polynomials associated to a certain fourth order differential equation. Zbl 1236.33017Hilgert, 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 1229.34129Kobayashi, Toshiyuki; Möllers, Jan 1 2011 Generalized Fourier transforms \(\mathcal F_{k,a}\). Zbl 1176.43003Ben Saïd, Salem; Kobayashi, Toshiyuki; Ørsted, Bent 7 2009 Hidden symmetries and spectrum of the Laplacian on an indefinite Riemannian manifold. Zbl 1172.58009Kobayashi, Toshiyuki 6 2009 Composition formulas in the Weyl calculus. Zbl 1201.35187Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael; Unterberger, André 4 2009 Indefinite higher Riesz transforms. Zbl 1187.42003Kobayashi, Toshiyuki; Nilsson, Andreas 3 2009 Multiplicity-free theorems of the restrictions of unitary highest weight modules with respect to reductive symmetric pairs. Zbl 1304.22013Kobayashi, Toshiyuki 37 2008 Group invariance and \(L^p\)-bounded operators. Zbl 1256.47020Kobayashi, 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 1147.53041Kobayashi, Toshiyuki 26 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 1124.22003Kobayashi, Toshiyuki 18 2007 The inversion formula and holomorphic extension of the minimal representation of the conformal group. Zbl 1390.22010Kobayashi, Toshiyuki; Mano, Gen 13 2007 Integral formula of the unitary inversion operator for the minimal representation of \(\text{O}(p,q)\). Zbl 1230.22007Kobayashi, Toshiyuki; Mano, Gen 10 2007 Deformation of properly discontinuous actions of \(\mathbb Z^{k}\) on \(\mathbb R^{k+1}\). Zbl 1124.57015Kobayashi, Toshiyuki; Nasrin, Salma 18 2006 Multiplicity-free representations and visible actions on complex manifolds. Zbl 1085.22010Kobayashi, Toshiyuki 33 2005 Compact Clifford-Klein forms of symmetric spaces – revisited. Zbl 1145.22011Kobayashi, Toshiyuki; Yoshino, Taro 33 2005 Integral formulas for the minimal representation of \(O(p,2\)). Zbl 1100.22007Kobayashi, Toshiyuki; Mano, Gen 14 2005 Restrictions of unitary representations of real reductive groups. Zbl 1072.22008Kobayashi, Toshiyuki 12 2005 Theory of discretely decomposable restrictions of unitary representations of semisimple Lie groups and some applications. Zbl 1279.22018Kobayashi, Toshiyuki 6 2005 Geometry of multiplicity-free representations of GL(\(n\)), visible actions on flag varieties, and triunity. Zbl 1050.22018Kobayashi, Toshiyuki 15 2004 Analysis on the minimal representation of O(\(p,\) \(q\)). III: Ultrahyperbolic equations on \(\mathbb{R}^{p-1,q-1}\). Zbl 1039.22005Kobayashi, Toshiyuki; Ørsted, Bent 39 2003 Analysis on the minimal representation of \(O(p,q)\). I: Realization via conformal geometry. Zbl 1046.22004Kobayashi, Toshiyuki; Ørsted, Bent 38 2003 Analysis on the minimal representation of \(\mathrm O(p,q)\). II: Branching laws. Zbl 1049.22006Kobayashi, Toshiyuki; Ørsted, Bent 30 2003 Multiplicity one theorem in the orbit method. Zbl 1048.22006Kobayashi, Toshiyuki; Nasrin, Salma 8 2003 Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds. Zbl 1074.53031Kobayashi, Toshiyuki 3 2003 Branching problems of unitary representations. Zbl 1008.43009Kobayashi, Toshiyuki 8 2002 Introduction to actions of discrete groups on pseudo-Riemannian homogeneous manifolds. Zbl 1026.57029Kobayashi, Toshiyuki 3 2002 Discontinuous groups for non-Riemannian homogeneous spaces. Zbl 1023.53031Kobayashi, Toshiyuki 24 2001 Discretely decomposable restrictions of unitary representations of reductive Lie groups – examples and conjectures. Zbl 0959.22009Kobayashi, Toshiyuki 12 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 0907.22016Kobayashi, Toshiyuki 61 1998 Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support. Zbl 0910.22016Kobayashi, Toshiyuki 47 1998 Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups. Zbl 0937.22008Kobayashi, Toshiyuki 23 1998 Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds. Zbl 0891.22014Kobayashi, Toshiyuki 20 1998 Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits. Zbl 0910.22010Kobayashi, Toshiyuki; Ørsted, Bent 15 1998 A vanishing theorem for modular symbols on locally symmetric spaces. Zbl 0933.11027Kobayashi, Toshiyuki; Oda, Takayuki 3 1998 Discontinuous groups and Clifford-Klein forms of pseudo-Riemannian homogeneous manifolds. Zbl 0899.43005Kobayashi, Toshiyuki 25 1997 Invariant measures on homogeneous manifolds of reductive type. Zbl 0881.22013Kobayashi, Toshiyuki 4 1997 \(L^ p\)-analysis on homogeneous manifolds of reductive type and representation theory. Zbl 0883.22015Kobayashi, Toshiyuki 1 1997 Criterion for proper actions on homogeneous spaces of reductive groups. Zbl 0863.22010Kobayashi, Toshiyuki 27 1996 Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications. Zbl 0826.22015Kobayashi, Toshiyuki 68 1994 Harmonic analysis on reduced homogeneous manifolds and unitary representation theory. Zbl 0895.22006Kobayashi, Toshiyuki 6 1994 Bounded domains and the zero sets of Fourier transforms. Zbl 0840.43012Kobayashi, Toshiyuki 1 1994 On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups. Zbl 0815.57029Kobayashi, Toshiyuki 40 1993 The restriction of \(A_ q(\lambda)\) to reductive subgroups. Zbl 0826.22014Kobayashi, Toshiyuki 17 1993 Perturbation of domains in the Pompeiu problem. Zbl 0847.35090Kobayashi, 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 0752.22007Kobayashi, Toshiyuki 21 1992 A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type. Zbl 0799.53056Kobayashi, Toshiyuki 17 1992 Discontinuous groups acting on homogeneous spaces of reductive type. Zbl 1193.22010Kobayashi, Toshiyuki 15 1992 Note on Hirzebruch’s proportionality principle. Zbl 0726.57019Kobayashi, Toshiyuki; Ono, Kaoru 16 1990 Proper action on a homogeneous space of reductive type. Zbl 0662.22008Kobayashi, Toshiyuki 64 1989 Periodic Schrödinger operators on a manifold. Zbl 0655.58033Kobayashi, Toshiyuki; Ono, Kaoru; Sunada, Toshikazu 14 1989 Asymptotic behaviour of the null variety for a convex domain in a non- positively curved space form. Zbl 0701.32008Kobayashi, Toshiyuki 5 1989 all cited Publications top 5 cited Publications 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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