## Muro, Masakazu

Compute Distance To:
 Author ID: muro.masakazu Published as: Muro, Masakazu
 Documents Indexed: 30 Publications since 1977 1 Contribution as Editor Reviewing Activity: 290 Reviews Co-Authors: 3 Co-Authors with 3 Joint Publications 35 Co-Co-Authors

### Co-Authors

 28 single-authored 2 Sato, Mikio 2 Shintani, Takuro 1 Kimura, Tatsuo
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### Serials

 6 RIMS Kokyuroku 5 Memoirs of the Faculty of Science. Series A. Mathematics 3 Proceedings of the Japan Academy. Series A 2 Journal of Functional Analysis 2 Nagoya Mathematical Journal 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tohoku Mathematical Journal. Second Series 1 Arkiv för Matematik 1 Journal of the Mathematical Society of Japan 1 Journal of Lie Theory
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### Fields

 17 Several complex variables and analytic spaces (32-XX) 16 Global analysis, analysis on manifolds (58-XX) 12 Algebraic geometry (14-XX) 11 Topological groups, Lie groups (22-XX) 10 Functional analysis (46-XX) 8 Partial differential equations (35-XX) 7 Abstract harmonic analysis (43-XX) 6 Group theory and generalizations (20-XX) 5 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

17 Publications have been cited 95 times in 74 Documents Cited by Year
Theory of prehomogeneous vector spaces. (Algebraic part). - The English translation of Sato’s lecture from Shintani’s note. Zbl 0715.22014
Sato, Mikio; Shintani, Takuro; Muro, Masakazu
1990
On some series of regular irreducible prehomogeneous vector spaces. Zbl 0465.14020
Kimura, Tatsuo; Muro, Masakazu
1979
Microlocal analysis and calculations on some relatively invariant hyperfunctions related to zeta functions associated with the vector spaces of quadratic forms. Zbl 0613.58029
Muro, Masakazu
1986
Invariant hyperfunctions on regular prehomogeneous vector spaces of commutative parabolic type. Zbl 0751.46027
Muro, Masakazu
1990
Singular invariant tempered distributions on regular prehomogeneous vector spaces. Zbl 0649.46032
Muro, Masakazu
1988
Some prehomogeneous vector spaces with relative invariants of degree four and the formula of the Fourier transforms. Zbl 0455.32015
Muro, Masakazu
1980
Singular invariant hyperfunctions on the space of complex and quaternion Hermitian matrices. Zbl 0994.46010
Muro, Masakazu
2001
Singular invariant hyperfunctions on the space of real symmetric matrices. Zbl 0938.22008
Muro, Masakazu
1999
On uniqueness of hyperfunction solutions of holonomic systems. Zbl 0697.58047
Muro, Masakazu
1988
Singular invariant hyperfunctions on the square matrix space and the alternating matrix space. Zbl 1068.11077
Muro, Masakazu
2003
The dimension of the space of relatively invariant hyperfunctions on regular prehomogeneous vector spaces. Zbl 0639.14032
Muro, Masakazu
1987
Microlocal calculus and Fourier transforms. Zbl 0371.43011
Muro, Masakazu
1977
Invariant hyperfunction solutions to invariant differential equations on the space of real symmetric matrices. Zbl 1036.35011
Muro, Masakazu
2002
Correction: Singular spectrum of hyperfunctions and Fourier transforms of group invariant measures on singular orbits of prehomogeneous vector spaces. II: The case of indefinite quadratic forms. Zbl 0565.58034
Muro, Masakazu
1985
On prehomogeneous vector spaces related to binary cubic forms. I: The orbital decomposition in the real domain. Zbl 0441.14015
Muro, Masakazu
1980
Singular spectrums of hyperfunctions and Fourier transforms of group invariant measures on singular orbits of prehomogeneous vector spaces. I. Zbl 0511.58035
Muro, Masakazu
1983
An algorithm to compute the $$b_P$$-functions via Gröbner bases of invariant differential operators on prehomogeneous vector spaces. Zbl 0969.13506
Muro, Masakazu
2000
Singular invariant hyperfunctions on the square matrix space and the alternating matrix space. Zbl 1068.11077
Muro, Masakazu
2003
Invariant hyperfunction solutions to invariant differential equations on the space of real symmetric matrices. Zbl 1036.35011
Muro, Masakazu
2002
Singular invariant hyperfunctions on the space of complex and quaternion Hermitian matrices. Zbl 0994.46010
Muro, Masakazu
2001
An algorithm to compute the $$b_P$$-functions via Gröbner bases of invariant differential operators on prehomogeneous vector spaces. Zbl 0969.13506
Muro, Masakazu
2000
Singular invariant hyperfunctions on the space of real symmetric matrices. Zbl 0938.22008
Muro, Masakazu
1999
Theory of prehomogeneous vector spaces. (Algebraic part). - The English translation of Sato’s lecture from Shintani’s note. Zbl 0715.22014
Sato, Mikio; Shintani, Takuro; Muro, Masakazu
1990
Invariant hyperfunctions on regular prehomogeneous vector spaces of commutative parabolic type. Zbl 0751.46027
Muro, Masakazu
1990
Singular invariant tempered distributions on regular prehomogeneous vector spaces. Zbl 0649.46032
Muro, Masakazu
1988
On uniqueness of hyperfunction solutions of holonomic systems. Zbl 0697.58047
Muro, Masakazu
1988
The dimension of the space of relatively invariant hyperfunctions on regular prehomogeneous vector spaces. Zbl 0639.14032
Muro, Masakazu
1987
Microlocal analysis and calculations on some relatively invariant hyperfunctions related to zeta functions associated with the vector spaces of quadratic forms. Zbl 0613.58029
Muro, Masakazu
1986
Correction: Singular spectrum of hyperfunctions and Fourier transforms of group invariant measures on singular orbits of prehomogeneous vector spaces. II: The case of indefinite quadratic forms. Zbl 0565.58034
Muro, Masakazu
1985
Singular spectrums of hyperfunctions and Fourier transforms of group invariant measures on singular orbits of prehomogeneous vector spaces. I. Zbl 0511.58035
Muro, Masakazu
1983
Some prehomogeneous vector spaces with relative invariants of degree four and the formula of the Fourier transforms. Zbl 0455.32015
Muro, Masakazu
1980
On prehomogeneous vector spaces related to binary cubic forms. I: The orbital decomposition in the real domain. Zbl 0441.14015
Muro, Masakazu
1980
On some series of regular irreducible prehomogeneous vector spaces. Zbl 0465.14020
Kimura, Tatsuo; Muro, Masakazu
1979
Microlocal calculus and Fourier transforms. Zbl 0371.43011
Muro, Masakazu
1977
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### Cited by 63 Authors

 8 Muro, Masakazu 4 Abramov, Sergeĭ Aleksandrovich 3 Chen, Shaoshi 3 Đoković, Dragomir Ž. 3 Kable, Anthony C. 3 Kimura, Tatsuo 3 Lőrincz, András Cristian 3 Ozeki, Ikuzo 3 Petkovšek, Marko 3 Rubenthaler, Hubert 3 Sadykov, Timur Mradovich 3 Sato, Fumihiro 2 Aomoto, Kazuhiko 2 Bezrodnykh, Sergeĭ I. 2 Blanco, Guillem 2 Blind, Bruno 2 Damon, James Norman 2 Faifman, Dmitry 2 Hou, Qinghu 2 Li, Ziming 2 Quinlan-Gallego, Eamon 1 Akihiko, Yukie 1 Bitoun, Thomas 1 Bogner, Christian 1 Caracciolo, Sergio 1 Chen, William Yong-Chuan 1 Chyzak, Frédéric 1 Datskovsky, Boris A. 1 Du, Hao 1 Feng, Ruyong 1 Fu, Guofeng 1 Gabber, Ofer 1 Gyoja, Akihiko 1 Heinrich, Gudrun 1 Hiroe, Kazuki 1 Horesh, Tal 1 Kaji, Hajime 1 Kamita, Atsushi 1 Kasai, Shin-ichi 1 Klausen, René Pascal 1 Kobayashi, Toshiyuki 1 Koutschan, Christoph 1 Li, Wen-Wei 1 Loeser, François 1 Mu, Yanping 1 Nang, Philibert 1 Nevo, Amos 1 Nilsson, Andreas 1 Panzer, Erik 1 Pike, Brian 1 Sabbah, Claude 1 Schiffmann, Gérard 1 Semusheva, Anastasiya Yu. 1 Shintani, Takuro 1 Sokal, Alan D. 1 Sportiello, Andrea 1 Sugiyama, Kazunari 1 Tajima, Kazuaki 1 Takeuchi, Kiyoshi 1 Ukai, Kimitoshi 1 Wright, David James 1 Yasukura, Osami 1 Yukie, Akihiko
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### Cited in 37 Serials

 6 Journal of Algebra 6 Proceedings of the Japan Academy. Series A 5 Tohoku Mathematical Journal. Second Series 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Advances in Applied Mathematics 4 Journal of Symbolic Computation 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Inventiones Mathematicae 2 Journal of Number Theory 2 Nagoya Mathematical Journal 2 Integral Transforms and Special Functions 2 Representation Theory 2 Journal of Siberian Federal University. Mathematics & Physics 1 Letters in Mathematical Physics 1 Physics Reports 1 Arkiv för Matematik 1 Duke Mathematical Journal 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Programming and Computer Software 1 Tsukuba Journal of Mathematics 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Bulletin des Sciences Mathématiques 1 Transformation Groups 1 Geometry & Topology 1 Journal of the Australian Mathematical Society 1 Journal of Systems Science and Complexity 1 Central European Journal of Mathematics 1 Proceedings of the Japan Academy 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Topology 1 Journal of Commutative Algebra
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### Cited in 28 Fields

 24 Algebraic geometry (14-XX) 23 Number theory (11-XX) 20 Several complex variables and analytic spaces (32-XX) 17 Special functions (33-XX) 11 Group theory and generalizations (20-XX) 9 Nonassociative rings and algebras (17-XX) 7 Topological groups, Lie groups (22-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Functional analysis (46-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Abstract harmonic analysis (43-XX) 4 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX)