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## Satake, Ichirô

Compute Distance To:
 Author ID: satake.ichiro Published as: Satake, Ichirô; Satake, Ichiro; Satake, I.; Satake, Ichirō External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 69 Publications since 1950, including 8 Books
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#### Co-Authors

 61 single-authored 1 Coates, John H. 1 Faraut, Jacques 1 Greenberg, Ralph 1 Iwahori, Nagayoshi 1 Kato, Tosio 1 Kawada, Yukiyosi 1 Kuga, Michio 1 Mazur, Barry 1 Morita, Yasuo 1 Ogata, Shoetsu
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#### Serials

 6 Tohoku Mathematical Journal. Second Series 4 Journal of the Mathematical Society of Japan 3 American Journal of Mathematics 3 Mathematische Annalen 3 Nagoya Mathematical Journal 3 Scientific Papers of the College of General Education 2 Annals of Mathematics. Second Series 2 Advanced Studies in Pure Mathematics 1 Acta Mathematica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Publications Mathématiques 1 Journal of the Faculty of Science. Section I A 1 The Journal of the Indian Mathematical Society. New Series 1 Advances in Mathematics 1 Sūgaku 1 Sugaku Expositions 1 Proceedings of the National Academy of Sciences of the United States of America 1 The Asian Journal of Mathematics 1 RIMS Kokyuroku 1 Bulletin of the American Mathematical Society 1 Kodai Mathematical Seminar Reports 1 Proceedings of the Japan Academy 1 Lecture Notes in Pure and Applied Mathematics 1 Progress in Mathematics 1 Pure and Applied Mathematics, Marcel Dekker 1 Journal of the Faculty of Science. Section I
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#### Fields

 21 Several complex variables and analytic spaces (32-XX) 14 Algebraic geometry (14-XX) 12 Number theory (11-XX) 11 Topological groups, Lie groups (22-XX) 6 Nonassociative rings and algebras (17-XX) 5 General and overarching topics; collections (00-XX) 5 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 938 times in 790 Documents Cited by Year
Algebraic structures of symmetric domains. Zbl 0483.32017
Satake, Ichirô
1980
On a generalization of the notion of manifold. Zbl 0074.18103
Satake, Ichirô
1956
The Gauss-Bonnet theorem for $$V$$-manifolds. Zbl 0080.37403
Satake, Ichirô
1957
On representations and compactifications of symmetric Riemannian spaces. Zbl 0094.34603
Satake, Ichirô
1960
Theory of spherical functions on reductive algebraic groups over p-adic fields. Zbl 0122.28501
Satake, Ichirô
1963
Holomorphic imbeddings of symmetric domains into a Siegel space. Zbl 0144.08202
Satake, Ichirô
1965
On compactifications of the quotient spaces for arithmetically defined discontinuous groups. Zbl 0146.04701
Satake, Ichirô
1960
Abelian varieties attached to polarized $$K_3$$-surfaces. Zbl 0221.14019
Kuga, Michio; Satake, Ichirô
1967
On the compactification of the Siegel space. Zbl 0072.30002
Satake, Ichirô
1956
Symplectic representations of algebraic groups satisfying a certain analyticity condition. Zbl 0149.39004
Satake, Ichirô
1967
Classification theory of semi-simple algebraic groups. With an appendix by M. Sugiura. Zbl 0226.20037
Satake, Ichirô
1971
The functional equation of zeta distributions associated with formally real Jordan algebras. Zbl 0566.10016
Satake, Ichirô; Faraut, J.
1984
Unitary representations of a semi-direct product of Lie groups on $$\bar \partial$$-cohomology spaces. Zbl 0205.04405
Satake, Ichirô
1971
Factors of automorphy and Fock representations. Zbl 0219.22016
Satake, Ichirô
1971
On classification of quasi-symmetric domains. Zbl 0331.32026
Satake, Ichirô
1976
On the arithmetic of tube domains (blowing-up of the point at infinity). Zbl 0332.32023
Satake, Ichirô
1974
On the theory of reductive algebraic groups over a perfect field. Zbl 0123.25201
Satake, Ichirô
1963
Clifford algebras and families of abelian varieties. Zbl 0154.20603
Satake, Ichirô
1968
Linear algebra. Translated by Sebastian Koh, Tadatoshi Akiba, Shin-ichiro Ihara. Zbl 0302.15001
Satake, Ichirô
1975
On some properties of holomorphic imbeddings of symmetric domains. Zbl 0182.11301
Satake, Ichirô
1969
A note on holomorphic imbeddings and compactification of symmetric domains. Zbl 0187.02903
Satake, Ichirô
1968
Spherical functions and Ramanujan conjecture. Zbl 0202.41102
Satake, Ichirô
1966
Zeta functions associated to cones and their special values. Zbl 0712.14009
Satake, I.; Ogata, S.
1989
A formula in simple Jordan algebras. Zbl 0576.17014
Satake, Ichirô
1984
Special values of zeta functions associated with self-dual homogeneous cones. Zbl 0497.14008
Satake, Ichirô
1981
Class formations. II. Zbl 0101.02902
Kawada, Yukiyosi; Satake, Ichirô
1956
An algebraic theory of Landau-Kolmogorov inequalities. Zbl 0465.47026
Kato, Tosio; Satake, Ichirô
1981
On the rational structures of symmetric domains. I. Zbl 0813.32028
Satake, I.
1991
Linear imbeddings of self-dual homogeneous cones. Zbl 0253.32020
Satake, Ichirô
1972
On the y-genera of arithmetic varieties of Q-rank one. Zbl 0632.32014
Satake, I.
1987
On zeta functions associated with self-dual homogeneous cones. Zbl 0751.14013
Satake, Ichiro
1989
On a theorem of E. Cartan. Zbl 0044.01801
Satake, Ichirô
1951
On spherical functions over p-adic fields. Zbl 0116.02303
Satake, Ichirô
1962
On numerical invariants of arithmetic varieties of $${\mathbb{Q}}$$-rank one. Zbl 0549.10020
Satake, Ichirô
1984
La déformation des formes hermitiennes et son application aux domaines de Siegel. (The deformation of Hermitian forms and its application to Siegel domains). Zbl 0415.32010
Satake, Ichirô
1978
Some remarks to the preceding paper of Tsukamoto. Zbl 0201.37102
Satake, Ichirô
1962
On the rational structures of symmetric domains. II: Determination of rational points of classical domains. Zbl 0813.32029
Satake, Ichiro
1991
On symmetric and quasi-symmetric Siegel domains. Zbl 0357.32017
Satake, Ichirô
1977
On the blowing-ups of Hilbert modular surfaces. Zbl 0367.32005
Satake, Ichirô
1977
Q-forms of symmetric domains and Jordan triple systems. Zbl 0379.32026
Satake, Ichirô
1977
Automorphic forms of several variables. 13th Taniguchi Symposium, Katata, Japan, 1983. Zbl 0534.00006
Satake, Ichiro (ed.); Morita, Yasuo (ed.)
1984
Equivariant holomorphic embeddings of symmetric domains and applications. Zbl 0936.32011
Satake, Ichiro
1997
On Cartan subalgebras of a Lie algebra. Zbl 0045.01102
Iwahori, Nagayoshi; Satake, Ichirô
1950
On Siegel’s modular functions. Zbl 0087.08202
Satake, Ichirô
1956
Unitary representations of a semi-direct product of Lie groups on $$\bar\partial$$-cohomology spaces. Zbl 0195.04801
Satake, Ichirô
1971
Symplectic representations of algebraic groups. Zbl 0214.28903
Satake, Ichirô
1966
Fock representations and theta-functions. Zbl 0217.43301
Satake, Ichirô
1971
On numerical invariants of arithmetic varieties (the case of Q-rank one). Zbl 0703.32012
Satake, Ichiro
1988
Equivariant holomorphic embeddings of symmetric domains and applications. Zbl 0936.32011
Satake, Ichiro
1997
On the rational structures of symmetric domains. I. Zbl 0813.32028
Satake, I.
1991
On the rational structures of symmetric domains. II: Determination of rational points of classical domains. Zbl 0813.32029
Satake, Ichiro
1991
Zeta functions associated to cones and their special values. Zbl 0712.14009
Satake, I.; Ogata, S.
1989
On zeta functions associated with self-dual homogeneous cones. Zbl 0751.14013
Satake, Ichiro
1989
On numerical invariants of arithmetic varieties (the case of Q-rank one). Zbl 0703.32012
Satake, Ichiro
1988
On the y-genera of arithmetic varieties of Q-rank one. Zbl 0632.32014
Satake, I.
1987
The functional equation of zeta distributions associated with formally real Jordan algebras. Zbl 0566.10016
Satake, Ichirô; Faraut, J.
1984
A formula in simple Jordan algebras. Zbl 0576.17014
Satake, Ichirô
1984
On numerical invariants of arithmetic varieties of $${\mathbb{Q}}$$-rank one. Zbl 0549.10020
Satake, Ichirô
1984
Automorphic forms of several variables. 13th Taniguchi Symposium, Katata, Japan, 1983. Zbl 0534.00006
Satake, Ichiro; Morita, Yasuo
1984
Special values of zeta functions associated with self-dual homogeneous cones. Zbl 0497.14008
Satake, Ichirô
1981
An algebraic theory of Landau-Kolmogorov inequalities. Zbl 0465.47026
Kato, Tosio; Satake, Ichirô
1981
Algebraic structures of symmetric domains. Zbl 0483.32017
Satake, Ichirô
1980
La déformation des formes hermitiennes et son application aux domaines de Siegel. (The deformation of Hermitian forms and its application to Siegel domains). Zbl 0415.32010
Satake, Ichirô
1978
On symmetric and quasi-symmetric Siegel domains. Zbl 0357.32017
Satake, Ichirô
1977
On the blowing-ups of Hilbert modular surfaces. Zbl 0367.32005
Satake, Ichirô
1977
Q-forms of symmetric domains and Jordan triple systems. Zbl 0379.32026
Satake, Ichirô
1977
On classification of quasi-symmetric domains. Zbl 0331.32026
Satake, Ichirô
1976
Linear algebra. Translated by Sebastian Koh, Tadatoshi Akiba, Shin-ichiro Ihara. Zbl 0302.15001
Satake, Ichirô
1975
On the arithmetic of tube domains (blowing-up of the point at infinity). Zbl 0332.32023
Satake, Ichirô
1974
Linear imbeddings of self-dual homogeneous cones. Zbl 0253.32020
Satake, Ichirô
1972
Classification theory of semi-simple algebraic groups. With an appendix by M. Sugiura. Zbl 0226.20037
Satake, Ichirô
1971
Unitary representations of a semi-direct product of Lie groups on $$\bar \partial$$-cohomology spaces. Zbl 0205.04405
Satake, Ichirô
1971
Factors of automorphy and Fock representations. Zbl 0219.22016
Satake, Ichirô
1971
Unitary representations of a semi-direct product of Lie groups on $$\bar\partial$$-cohomology spaces. Zbl 0195.04801
Satake, Ichirô
1971
Fock representations and theta-functions. Zbl 0217.43301
Satake, Ichirô
1971
On some properties of holomorphic imbeddings of symmetric domains. Zbl 0182.11301
Satake, Ichirô
1969
Clifford algebras and families of abelian varieties. Zbl 0154.20603
Satake, Ichirô
1968
A note on holomorphic imbeddings and compactification of symmetric domains. Zbl 0187.02903
Satake, Ichirô
1968
Abelian varieties attached to polarized $$K_3$$-surfaces. Zbl 0221.14019
Kuga, Michio; Satake, Ichirô
1967
Symplectic representations of algebraic groups satisfying a certain analyticity condition. Zbl 0149.39004
Satake, Ichirô
1967
Spherical functions and Ramanujan conjecture. Zbl 0202.41102
Satake, Ichirô
1966
Symplectic representations of algebraic groups. Zbl 0214.28903
Satake, Ichirô
1966
Holomorphic imbeddings of symmetric domains into a Siegel space. Zbl 0144.08202
Satake, Ichirô
1965
Theory of spherical functions on reductive algebraic groups over p-adic fields. Zbl 0122.28501
Satake, Ichirô
1963
On the theory of reductive algebraic groups over a perfect field. Zbl 0123.25201
Satake, Ichirô
1963
On spherical functions over p-adic fields. Zbl 0116.02303
Satake, Ichirô
1962
Some remarks to the preceding paper of Tsukamoto. Zbl 0201.37102
Satake, Ichirô
1962
On representations and compactifications of symmetric Riemannian spaces. Zbl 0094.34603
Satake, Ichirô
1960
On compactifications of the quotient spaces for arithmetically defined discontinuous groups. Zbl 0146.04701
Satake, Ichirô
1960
The Gauss-Bonnet theorem for $$V$$-manifolds. Zbl 0080.37403
Satake, Ichirô
1957
On a generalization of the notion of manifold. Zbl 0074.18103
Satake, Ichirô
1956
On the compactification of the Siegel space. Zbl 0072.30002
Satake, Ichirô
1956
Class formations. II. Zbl 0101.02902
Kawada, Yukiyosi; Satake, Ichirô
1956
On Siegel’s modular functions. Zbl 0087.08202
Satake, Ichirô
1956
On a theorem of E. Cartan. Zbl 0044.01801
Satake, Ichirô
1951
On Cartan subalgebras of a Lie algebra. Zbl 0045.01102
Iwahori, Nagayoshi; Satake, Ichirô
1950
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#### Cited by 861 Authors

 13 Satake, Ichirô 10 Isaev, Alexander 7 Du, Chengyong 7 Seaton, Christopher 7 Zhang, Genkai 6 Berceanu, Stefan 6 Lee, Minho 6 Murase, Atsushi 6 Nomura, Takaaki 5 Chen, Bohui 5 Chu, Choho 5 Clerc, Jean-Louis 5 Ólafsson, Gestur 5 Ørsted, Bent 5 Sugano, Takashi 5 Wienhard, Anna Katharina 4 Abdulali, Salman 4 Angella, Daniele 4 Bertram, Wolfgang 4 Burger, Marc 4 Christian, Ulrich 4 Dorfmeister, Josef F. 4 Feit, Paul 4 Fukumoto, Yoshihiro 4 Harris, Michael Howard 4 Ji, Lizhen 4 Kaneyuki, Soji 4 Kimura, Morishige 4 Knapp, Anthony William 4 Korányi, Adam 4 Li, Jian-Shu 4 Schwarz, Benjamin 4 Stanhope, Elizabeth 4 Takeuchi, Yoshihiro 4 Tretkoff, Paula 4 Yokoyama, Misako 3 Alekseevskiĭ, Dmitriĭ Vladimirovich 3 Azukawa, Kazuo 3 Baily, Walter L. jun. 3 Borel, Armand 3 Cattani, Eduardo H. 3 Colman, Hellen 3 De Oliveira, Marcelo P. 3 Ezhov, Vladimir Vladimirovich 3 Faraut, Jacques 3 Farsi, Carla 3 Fukui, Kazuhiko 3 Gordon, B. Brent 3 Harju, Antti J. 3 Hilgert, Joachim 3 Hu, Jianxun 3 Iozzi, Alessandra 3 Ishi, Hideyuki 3 Kobayashi, Shoshichi 3 LeBrun, Claude R. 3 Lee, Ronnie 3 Lippa, Erik A. 3 Martín-Morales, Jorge 3 Mok, Ngaiming 3 Molino, Pierre 3 Namikawa, Yukihiko 3 Nguyễn Quôc Thăng 3 Ogata, Shoetsu 3 Proctor, Emily 3 Rubenthaler, Hubert 3 Runge, Bernhard 3 Saito, Masa-Hiko 3 Seligman, George B. 3 Shalika, Joseph A. 3 To, Wing-Keung 3 Töben, Dirk 3 Verbitsky, Misha 3 Weintraub, Steven Howard 3 Wolf, Joseph Albert 3 Zucker, Steven Mark 2 Abe, Kōjun 2 Andrianov, Anatoliĭ Nikolaevich 2 Artal Bartolo, Enrique 2 Asai, Teruaki 2 Ashikaga, Tadashi 2 Atiyah, Michael Francis 2 Bainbridge, Matt 2 Blau, Matthias 2 Blind, Bruno 2 Borzellino, Joseph E. 2 Boyer, Charles P. 2 Brakkee, Emma 2 Brunsden, Victor 2 Buraczewski, Dariusz 2 Carchedi, David Joseph 2 Chen, Weimin 2 Clingher, Adrian 2 Deraux, Martin 2 Dobrev, Vladimir K. 2 Draper, Cristina 2 Fino, Anna 2 Friedman, Robert M. 2 Galicki, Krzysztof 2 Ghigi, Alessandro 2 Gordon, Carolyn S. ...and 761 more Authors
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#### Cited in 154 Serials

 47 Mathematische Annalen 40 Tohoku Mathematical Journal. Second Series 37 Transactions of the American Mathematical Society 32 Inventiones Mathematicae 25 Advances in Mathematics 20 Journal of Geometry and Physics 20 Duke Mathematical Journal 20 Journal of Functional Analysis 16 Compositio Mathematica 16 Journal of Algebra 16 Topology and its Applications 15 Annales de l’Institut Fourier 13 Mathematische Zeitschrift 13 Bulletin of the American Mathematical Society 12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Nagoya Mathematical Journal 12 Differential Geometry and its Applications 11 Journal of Soviet Mathematics 11 Proceedings of the American Mathematical Society 11 The Journal of Geometric Analysis 10 Communications in Algebra 10 Annals of Global Analysis and Geometry 9 Israel Journal of Mathematics 9 Geometriae Dedicata 9 Journal für die Reine und Angewandte Mathematik 8 Journal of Mathematical Physics 8 Proceedings of the Japan Academy. Series A 8 International Journal of Mathematics 8 Bulletin of the American Mathematical Society. New Series 7 Archiv der Mathematik 7 Journal of Number Theory 7 Transformation Groups 6 Communications in Mathematical Physics 6 Letters in Mathematical Physics 6 Publications Mathématiques 6 Journal of Pure and Applied Algebra 6 Memoirs of the American Mathematical Society 6 Selecta Mathematica. New Series 6 Geometry & Topology 5 Journal of Mathematical Analysis and Applications 5 Acta Mathematica 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Geometric and Functional Analysis. GAFA 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Journal de Théorie des Nombres de Bordeaux 5 Journal of Mathematical Sciences (New York) 5 Annals of Mathematics. Second Series 5 Acta Mathematica Sinica. English Series 5 Proceedings of the Japan Academy 4 International Journal of Systems Science 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Functional Analysis and its Applications 4 Journal of the Mathematical Society of Japan 4 Osaka Journal of Mathematics 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Journal of the American Mathematical Society 4 Journal of High Energy Physics 4 Algebraic & Geometric Topology 4 Journal of the Institute of Mathematics of Jussieu 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Science China. Mathematics 3 Rocky Mountain Journal of Mathematics 3 Reviews in Mathematical Physics 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Bulletin de la Société Mathématique de France 3 Tokyo Journal of Mathematics 3 Linear Algebra and its Applications 3 Indagationes Mathematicae. New Series 3 Journal of the Australian Mathematical Society 3 International Journal of Number Theory 3 Kyoto Journal of Mathematics 3 Journal de l’École Polytechnique – Mathématiques 3 Complex Manifolds 2 Bulletin of the Australian Mathematical Society 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Glasgow Mathematical Journal 2 Integral Equations and Operator Theory 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Rendiconti del Seminario Matematico della Università di Padova 2 Science in China. Series A 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales Mathématiques Blaise Pascal 2 Mathematical Physics, Analysis and Geometry 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Geometric Methods in Modern Physics 2 Frontiers of Mathematics in China 2 Journal of Noncommutative Geometry 2 Journal of Topology 2 Involve 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Communications on Pure and Applied Mathematics 1 General Relativity and Gravitation 1 Journal of Statistical Physics ...and 54 more Serials
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#### Cited in 48 Fields

 210 Algebraic geometry (14-XX) 185 Differential geometry (53-XX) 183 Several complex variables and analytic spaces (32-XX) 172 Topological groups, Lie groups (22-XX) 167 Number theory (11-XX) 134 Manifolds and cell complexes (57-XX) 94 Global analysis, analysis on manifolds (58-XX) 67 Group theory and generalizations (20-XX) 66 Nonassociative rings and algebras (17-XX) 36 Algebraic topology (55-XX) 33 Abstract harmonic analysis (43-XX) 32 Quantum theory (81-XX) 28 Functional analysis (46-XX) 18 Category theory; homological algebra (18-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Operator theory (47-XX) 12 Functions of a complex variable (30-XX) 12 Geometry (51-XX) 10 Commutative algebra (13-XX) 9 Relativity and gravitational theory (83-XX) 8 Associative rings and algebras (16-XX) 7 $$K$$-theory (19-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Special functions (33-XX) 6 Convex and discrete geometry (52-XX) 5 Combinatorics (05-XX) 5 Ordinary differential equations (34-XX) 5 General topology (54-XX) 4 Field theory and polynomials (12-XX) 4 Measure and integration (28-XX) 4 Potential theory (31-XX) 4 Partial differential equations (35-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)

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