Edit Profile (opens in new tab) Okamoto, Kiyosato Compute Distance To: Compute Author ID: okamoto.kiyosato Published as: Okamoto, Kiyosato; Okamoto, K. Documents Indexed: 35 Publications since 1965 3 Contributions as Editor Co-Authors: 28 Co-Authors with 30 Joint Publications 212 Co-Co-Authors all top 5 Co-Authors 8 single-authored 5 Ogura, Kazunori 4 Tsukamoto, Michiroh 3 Hashimoto, Takashi 3 Hashizume, Michihiko 3 Kowata, Atsutaka 3 Minemura, Katsuhiro 3 Ozeki, Hideki 3 Sawae, Ryuichi 2 Eguchi, Masaaki 2 Hamada, Mitsuto 2 Imamura, Eisuke 2 Kanno, Hiroaki 2 Kumahara, Keisaku 2 Matsushima, Hiroshi 2 Narasimhan, Mudumbai Seshachalu 2 Oshima, Toshio 2 Sakurai, Takatoshi 2 Tanaka, Makoto 2 Togoshi, Yuichiro 2 Yokota, Katsuki 1 Flensted-Jensen, Mogens 1 Hano, J. 1 Hiraoka, Kenji 1 Kashiwara, Masaki 1 Knapp, Anthony William 1 Matsumoto, Shuichi 1 Yamamori, Atsushi 1 Yasunaga, Hisatoshi all top 5 Serials 12 Hiroshima Mathematical Journal 4 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Annals of Mathematics. Second Series 2 Proceedings of the Japan Academy 2 Advanced Studies in Pure Mathematics 1 International Journal of Modern Physics A 1 Hokkaido Mathematical Journal 1 Journal of Functional Analysis 1 Japanese Journal of Mathematics. New Series 1 Acta Applicandae Mathematicae 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 RIMS Kokyuroku 1 Research Reports of the Faculty of Science and Technology. Meijo University 1 Progress in Mathematics all top 5 Fields 24 Topological groups, Lie groups (22-XX) 11 Abstract harmonic analysis (43-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 5 Partial differential equations (35-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 182 times in 150 Documents Cited by ▼ Year ▼ Eigenfunctions of invariant differential operators on a symmetric space. Zbl 0377.43012Kashiwara, M.; Kowata, A.; Minemura, K.; Okamoto, K.; Oshima, T.; Tanaka, M. 66 1978 Limits of holomorphic discrete series. Zbl 0226.22010Knapp, A. W.; Okamoto, K. 16 1972 An analogue of the Borel-Weil-Bott theorem for hermitian symmetric pairs of non-compact type. Zbl 0257.22013Narasimhan, M. S.; Okamoto, K. 16 1970 The Paley-Wiener theorem for distributions on symmetric spaces. Zbl 0271.22007Eguchi, Masaaki; Hashizume, Michihiko; Okamoto, Kiyosato 10 1973 On square-integrable \(\bar\partial\) anti-cohomology spaces attached to hermitian symmetric spaces. Zbl 0173.23702Okamoto, K.; Ozeki, H. 8 1967 An integral representation of an eigenfunction of the Laplacian on the Euclidean space. Zbl 0269.35012Hashizume, M.; Kowata, A.; Minemura, K.; Okamoto, K. 8 1972 The Fourier transform of the Schwartz space on a symmetric space. Zbl 0396.43023Eguchi, Masaaki; Okamoto, Kiyosato 7 1977 On the Plancherel formulas for some types of simple Lie groups. Zbl 0132.36004Okamoto, K. 5 1965 An analogue of the Paley-Wiener theorem for the euclidean motion group. Zbl 0265.22019Kumahara, Keisaku; Okamoto, Kiyosato 5 1973 Harmonic functions on Hermitian hyperbolic spaces. Zbl 0273.31011Hashizume, Michihiko; Minemura, Katsuhiro; Okamoto, Kiyosato 5 1973 An explicit construction of the K-finite vectors in the discrete series for an isotropic semisimple symmetric space. Zbl 0563.22008Flensted-Jensen, Mogens; Okamoto, Kiyosato 4 1984 Harmonic functions and the Borel-Weil theorem. Zbl 0356.31001Kowata, Atsutaka; Okamoto, Kiyosato 3 1974 Borel-Weil theory and Feynman path integrals on flag manifolds. Zbl 0838.22009Hashimoto, Takashi; Ogura, Kazunori; Okamoto, Kiyosato; Sawae, Ryuichi 3 1993 Eigenfunctions of the Laplacian on a real hyperboloid of one sheet. Zbl 0389.35015Hiraoka, Kenji; Matsumoto, Shuichi; Okamoto, Kiyosato 3 1977 Non-existence of torsion free flat connections on a real semisimple Lie group. Zbl 0411.53006Matsushima, Hiroshi; Okamoto, Kiyosato 3 1979 Generalized Poisson and Cauchy kernel functions on classical domains. Zbl 1019.32018Okamoto, Kiyosato; Tsukamoto, Michiroh; Yokota, Katsuki 2 2000 Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits of \(SU(2)\) and \(SU(1,1)\). Zbl 0925.58012Hashimoto, Takashi; Ogura, Kazunori; Okamoto, Kiyosato; Sawae, Ryuichi 2 1992 The Plancherel formula for the universal covering group of De Sitter group. Zbl 0132.36101Okamoto, K. 2 1965 Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits. I. Zbl 0733.58007Hashimoto, Takashi; Ogura, Kazunori; Okamoto, Kiyosato; Sawae, Ryuichi; Yasunaga, Hisatoshi 2 1991 Eigenvalues of generalized Laplacians for generalized Poisson-Cauchy transforms on classical domains. Zbl 1179.43008Imamura, Eisuke; Okamoto, Kiyosato; Tsukamoto, Michiroh 2 2009 On induced representations. Zbl 0172.18407Okamoto, K. 2 1967 An integral representation of an eigenfunction of invariant differential operators on a symmetric space. Zbl 0293.58016Inoue, Toru; Okamoto, Kiyosato; Tanaka, Makoto 2 1974 Manifolds and Lie groups. Papers in honor of Yozô Matsushima. Zbl 0463.00013 1 1981 On a certain class of irreducible unitary representations of the infinite dimensional rotation group. I. Zbl 0499.22026Matsushima, H.; Okamoto, K.; Sakurai, T. 1 1981 Vector bundle-valued Poisson and Cauchy kernel functions on classical domains. Zbl 0973.22005Okamoto, K.; Tsukamoto, M.; Yokota, K. 1 2000 An analogue of the Paley-Wiener theorem for the euclidean motion group. Zbl 0225.22012Kumahara, Keisaku; Okamoto, Kiyosato 1 1971 Harmonic analysis on homogeneous vector bundles. Zbl 0234.43009Okamoto, K. 1 1972 An analogue of the Borel-Weil-Bott theorem for hermitian symmetric pairs of non-compact type. Zbl 0257.22014Narasimhan, M. S.; Okamoto, K. 1 1971 Eigenvalues of generalized Laplacians for generalized Poisson-Cauchy transforms on classical domains. Zbl 1179.43008Imamura, Eisuke; Okamoto, Kiyosato; Tsukamoto, Michiroh 2 2009 Generalized Poisson and Cauchy kernel functions on classical domains. Zbl 1019.32018Okamoto, Kiyosato; Tsukamoto, Michiroh; Yokota, Katsuki 2 2000 Vector bundle-valued Poisson and Cauchy kernel functions on classical domains. Zbl 0973.22005Okamoto, K.; Tsukamoto, M.; Yokota, K. 1 2000 Borel-Weil theory and Feynman path integrals on flag manifolds. Zbl 0838.22009Hashimoto, Takashi; Ogura, Kazunori; Okamoto, Kiyosato; Sawae, Ryuichi 3 1993 Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits of \(SU(2)\) and \(SU(1,1)\). Zbl 0925.58012Hashimoto, Takashi; Ogura, Kazunori; Okamoto, Kiyosato; Sawae, Ryuichi 2 1992 Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits. I. Zbl 0733.58007Hashimoto, Takashi; Ogura, Kazunori; Okamoto, Kiyosato; Sawae, Ryuichi; Yasunaga, Hisatoshi 2 1991 An explicit construction of the K-finite vectors in the discrete series for an isotropic semisimple symmetric space. Zbl 0563.22008Flensted-Jensen, Mogens; Okamoto, Kiyosato 4 1984 Manifolds and Lie groups. Papers in honor of Yozô Matsushima. Zbl 0463.00013 1 1981 On a certain class of irreducible unitary representations of the infinite dimensional rotation group. I. Zbl 0499.22026Matsushima, H.; Okamoto, K.; Sakurai, T. 1 1981 Non-existence of torsion free flat connections on a real semisimple Lie group. Zbl 0411.53006Matsushima, Hiroshi; Okamoto, Kiyosato 3 1979 Eigenfunctions of invariant differential operators on a symmetric space. Zbl 0377.43012Kashiwara, M.; Kowata, A.; Minemura, K.; Okamoto, K.; Oshima, T.; Tanaka, M. 66 1978 The Fourier transform of the Schwartz space on a symmetric space. Zbl 0396.43023Eguchi, Masaaki; Okamoto, Kiyosato 7 1977 Eigenfunctions of the Laplacian on a real hyperboloid of one sheet. Zbl 0389.35015Hiraoka, Kenji; Matsumoto, Shuichi; Okamoto, Kiyosato 3 1977 Harmonic functions and the Borel-Weil theorem. Zbl 0356.31001Kowata, Atsutaka; Okamoto, Kiyosato 3 1974 An integral representation of an eigenfunction of invariant differential operators on a symmetric space. Zbl 0293.58016Inoue, Toru; Okamoto, Kiyosato; Tanaka, Makoto 2 1974 The Paley-Wiener theorem for distributions on symmetric spaces. Zbl 0271.22007Eguchi, Masaaki; Hashizume, Michihiko; Okamoto, Kiyosato 10 1973 An analogue of the Paley-Wiener theorem for the euclidean motion group. Zbl 0265.22019Kumahara, Keisaku; Okamoto, Kiyosato 5 1973 Harmonic functions on Hermitian hyperbolic spaces. Zbl 0273.31011Hashizume, Michihiko; Minemura, Katsuhiro; Okamoto, Kiyosato 5 1973 Limits of holomorphic discrete series. Zbl 0226.22010Knapp, A. W.; Okamoto, K. 16 1972 An integral representation of an eigenfunction of the Laplacian on the Euclidean space. Zbl 0269.35012Hashizume, M.; Kowata, A.; Minemura, K.; Okamoto, K. 8 1972 Harmonic analysis on homogeneous vector bundles. Zbl 0234.43009Okamoto, K. 1 1972 An analogue of the Paley-Wiener theorem for the euclidean motion group. Zbl 0225.22012Kumahara, Keisaku; Okamoto, Kiyosato 1 1971 An analogue of the Borel-Weil-Bott theorem for hermitian symmetric pairs of non-compact type. Zbl 0257.22014Narasimhan, M. S.; Okamoto, K. 1 1971 An analogue of the Borel-Weil-Bott theorem for hermitian symmetric pairs of non-compact type. Zbl 0257.22013Narasimhan, M. S.; Okamoto, K. 16 1970 On square-integrable \(\bar\partial\) anti-cohomology spaces attached to hermitian symmetric spaces. Zbl 0173.23702Okamoto, K.; Ozeki, H. 8 1967 On induced representations. Zbl 0172.18407Okamoto, K. 2 1967 On the Plancherel formulas for some types of simple Lie groups. Zbl 0132.36004Okamoto, K. 5 1965 The Plancherel formula for the universal covering group of De Sitter group. Zbl 0132.36101Okamoto, K. 2 1965 all cited Publications top 5 cited Publications all top 5 Cited by 157 Authors 7 Oshima, Toshio 6 Helgason, Sigurdur 5 Sarkar, Rudra P. 5 Schlichtkrull, Henrik 3 Boussejra, Abdelhamid 3 Eguchi, Masaaki 3 Kaizuka, Koichi 3 Knapp, Anthony William 3 Koufany, Khalid 3 Kumahara, Keisaku 3 Kumar, Pratyoosh 3 Naik, Muna 3 Okamoto, Kiyosato 3 Schmid, Wilfried 3 Sekiguchi, Jiro 3 Van den Ban, Erik Peter 3 Williams, Floyd L. 2 Carmona, Jacques 2 Donley, Robert W. jun. 2 Flensted-Jensen, Mogens 2 Hashimoto, Takashi 2 Hilgert, Joachim 2 Hotta, Ryoshi 2 Kobayashi, Toshiyuki 2 Mantero, Anna Maria 2 Miatello, Roberto Jorge 2 Ólafsson, Gestur 2 Ourchane, Nadia 2 Ray, Swagato K. 2 Samanta, Amit 2 Satake, Ichirô 2 Wolf, Joseph Albert 2 Zhang, Genkai 1 Abe, Noriyuki 1 Adimurthi, A. 1 Afgoustidis, Alexandre 1 Agaoka, Yoshio 1 Andersen, Nils Byrial 1 Atiyah, Michael Francis 1 Awonusika, Richard Olu 1 Bansal, Ashish 1 Barchini, Leticia 1 Branson, Thomas Patrick 1 Bunke, Ulrich 1 Camporesi, Roberto 1 Carey, Alan L. 1 Carroll, Robert Wayne 1 Chattopadhyay, Arup 1 Chirikjian, Gregory S. 1 Connell, Chris 1 Damek, Ewa 1 El Harchaoui, Mimoun 1 El Wassouli, Fouzia 1 Fahlaoui, Said 1 Feehan, Paul M. N. 1 Gaillard, Pierre-Yves 1 Gelbart, Stephen S. 1 Gindikin, Simon Grigorevich 1 Goette, Sebastian 1 Gonzalez, Fulton B. 1 González, María del Mar 1 Gottschalk, Hanno 1 Griffiths, Phillip Augustus 1 Grobner, Harald 1 Gross, Kenneth Irwin 1 Guillopé, Laurent 1 Ha Huy Bang 1 Hansen, Sönke 1 Harris, Benjamin 1 Harris, Michael Howard 1 He, Hongyu 1 Higuchi, Atsushi 1 Hirai, Takeshi 1 Hiroe, Kazuki 1 Huy, Vu Nhat 1 Ii, Kiyotaka 1 Imamura, Eisuke 1 Ionescu, Alexandru D. 1 Ishikawa, Satoshi 1 Isozaki, Hiroshi 1 Jakobsen, Hans Plesner 1 Kassel, Fanny 1 Kato, Shin-ichi 1 Kelmer, Dubi 1 Kitahara, Haruo 1 Korányi, Adam 1 Kowata, Atsutaka 1 Krötz, Bernhard J. 1 Kuchment, Peter A. 1 Kumar, Ajay 1 Kumaresan, S. 1 Kunze, Ray Alden 1 Kurylëv, Yaroslav Vadimovich 1 Kyatkin, Alexander B. 1 La, HoSeong 1 Lassalle, Michel 1 Lassas, Matti J. 1 Lewis, John B. 1 Li, Duo 1 Liu, Heping ...and 57 more Authors all top 5 Cited in 60 Serials 32 Journal of Functional Analysis 12 Transactions of the American Mathematical Society 7 Inventiones Mathematicae 6 Advances in Mathematics 6 Mathematische Annalen 6 Proceedings of the Japan Academy 4 Proceedings of the American Mathematical Society 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Communications in Mathematical Physics 3 Acta Mathematica 3 Journal of the Mathematical Society of Japan 3 Proceedings of the Japan Academy. Series A 2 Letters in Mathematical Physics 2 Journal of Geometry and Physics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Tohoku Mathematical Journal. Second Series 2 Journal of Lie Theory 2 Representation Theory 2 Acta Mathematica Sinica. English Series 2 Bulletin of the American Mathematical Society 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Ricerche di Matematica 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Acta Applicandae Mathematicae 1 Physica D 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 St. Petersburg Mathematical Journal 1 Integral Transforms and Special Functions 1 The Journal of Fourier Analysis and Applications 1 Journal of Mathematical Chemistry 1 Journal of Inequalities and Applications 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Complex Variables and Elliptic Equations 1 Complex Analysis and Operator Theory 1 Science China. Mathematics all top 5 Cited in 28 Fields 88 Topological groups, Lie groups (22-XX) 68 Abstract harmonic analysis (43-XX) 33 Global analysis, analysis on manifolds (58-XX) 26 Differential geometry (53-XX) 22 Partial differential equations (35-XX) 20 Several complex variables and analytic spaces (32-XX) 9 Number theory (11-XX) 9 Functional analysis (46-XX) 9 Manifolds and cell complexes (57-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Operator theory (47-XX) 7 Special functions (33-XX) 6 Integral transforms, operational calculus (44-XX) 5 Nonassociative rings and algebras (17-XX) 4 Potential theory (31-XX) 4 Quantum theory (81-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year