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## Kato, Yoshifumi

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 Author ID: kato.yoshifumi Published as: Kato, Y.; Kato, Yoshifumi Homepage: https://kyoinjoho.meijo-u.ac.jp/search/profile/en.cff7422d75fd59cd.html
 Documents Indexed: 20 Publications since 1974

#### Co-Authors

 8 single-authored 11 Aomoto, Kazuhiko 1 Koike, Masao 1 Mimachi, Katsuhisa
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#### Serials

 4 Nagoya Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Studies in Applied Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 IMRN. International Mathematics Research Notices 1 Selecta Mathematica. New Series 1 Journal of Difference Equations and Applications 1 RIMS Kokyuroku
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#### Fields

 10 Special functions (33-XX) 4 Algebraic geometry (14-XX) 4 Difference and functional equations (39-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

15 Publications have been cited 62 times in 39 Documents Cited by Year
A solution of the Yang-Baxter equation as connection coefficients of a holonomic $$q$$-difference system. Zbl 0765.39002
Aomoto, Kazuhiko; Kato, Yoshifumi; Mimachi, Katsuhisa
1992
Connection formula of symmetric $$A$$-type Jackson integrals. Zbl 0802.33016
Aomoto, Kazuhiko; Kato, Yoshifumi
1994
A $$q$$-analogue of de Rham cohomology associated with Jackson integrals. Zbl 0768.33019
Aomoto, Kazuhiko; Kato, Yoshifumi
1991
Gauss decomposition of connection matrices and application to Yang-Baxter equation. I. Zbl 0797.33011
Aomoto, Kazuhiko; Kato, Yoshifumi
1993
Connection coefficients for $$A$$-type Jackson integral and Yang-Baxter equation. Zbl 0813.33010
Aomoto, Kazuhiko; Kato, Yoshifumi
1994
Gauss decomposition of connection matrices for symmetric $$A$$-type Jackson integrals. Zbl 0854.33015
Aomoto, K.; Kato, Y.
1995
Green functions and spectra on free products of cyclic groups. Zbl 0639.60008
Aomoto, K.; Kato, Y.
1988
Mixed periodic Jacobi continued fractions. Zbl 0604.10028
Kato, Yoshifumi
1986
Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems. Zbl 0598.47008
Kato, Yoshifumi; Aomoto, Kazuhiko
1984
On the spectral density of periodic Jacobi matrices. Zbl 0569.40001
Kato, Yoshifumi
1983
Derivation of $$q$$-difference equation from connection matrix for Selberg type Jackson integrals. Zbl 0913.33009
Aomoto, Kazuhiko; Kato, Yoshifumi
1998
Gauss decomposition of connection matrices and application to Yang-Baxter equation. II. Zbl 0819.33010
Aomoto, Kazuhiko; Kato, Yoshifumi
1993
The determinants of matrices whose elements decrease geometrically in diagonal direction. Zbl 0647.33002
Kato, Yoshifumi
1988
On the vector fields on an algebraic homogeneous space. Zbl 0572.32016
Kato, Yoshifumi
1983
A new characterization of the Bruhat decomposition. Zbl 0501.22010
Kato, Yoshifumi
1982
Derivation of $$q$$-difference equation from connection matrix for Selberg type Jackson integrals. Zbl 0913.33009
Aomoto, Kazuhiko; Kato, Yoshifumi
1998
Gauss decomposition of connection matrices for symmetric $$A$$-type Jackson integrals. Zbl 0854.33015
Aomoto, K.; Kato, Y.
1995
Connection formula of symmetric $$A$$-type Jackson integrals. Zbl 0802.33016
Aomoto, Kazuhiko; Kato, Yoshifumi
1994
Connection coefficients for $$A$$-type Jackson integral and Yang-Baxter equation. Zbl 0813.33010
Aomoto, Kazuhiko; Kato, Yoshifumi
1994
Gauss decomposition of connection matrices and application to Yang-Baxter equation. I. Zbl 0797.33011
Aomoto, Kazuhiko; Kato, Yoshifumi
1993
Gauss decomposition of connection matrices and application to Yang-Baxter equation. II. Zbl 0819.33010
Aomoto, Kazuhiko; Kato, Yoshifumi
1993
A solution of the Yang-Baxter equation as connection coefficients of a holonomic $$q$$-difference system. Zbl 0765.39002
Aomoto, Kazuhiko; Kato, Yoshifumi; Mimachi, Katsuhisa
1992
A $$q$$-analogue of de Rham cohomology associated with Jackson integrals. Zbl 0768.33019
Aomoto, Kazuhiko; Kato, Yoshifumi
1991
Green functions and spectra on free products of cyclic groups. Zbl 0639.60008
Aomoto, K.; Kato, Y.
1988
The determinants of matrices whose elements decrease geometrically in diagonal direction. Zbl 0647.33002
Kato, Yoshifumi
1988
Mixed periodic Jacobi continued fractions. Zbl 0604.10028
Kato, Yoshifumi
1986
Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems. Zbl 0598.47008
Kato, Yoshifumi; Aomoto, Kazuhiko
1984
On the spectral density of periodic Jacobi matrices. Zbl 0569.40001
Kato, Yoshifumi
1983
On the vector fields on an algebraic homogeneous space. Zbl 0572.32016
Kato, Yoshifumi
1983
A new characterization of the Bruhat decomposition. Zbl 0501.22010
Kato, Yoshifumi
1982
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#### Cited by 33 Authors

 9 Aomoto, Kazuhiko 8 Ito, Masahiko 8 Kato, Yoshifumi 4 Mimachi, Katsuhisa 2 Forrester, Peter J. 2 Lenczewski, Romuald 2 Matsuo, Atsushi 2 Nakamura, Yoshimasa 2 Varchenko, Alexander Nikolaevich 1 Accardi, Luigi 1 Álvarez-Nodarse, Renato 1 Anshelevich, Michael 1 Cherednik, Ivan V. 1 Damaskinskij, E. V. 1 Gutkin, Eugene 1 Kodama, Yuji 1 Koike, Masao 1 Kulish, Petr Petrovich 1 Lehner, Franz 1 Mano, Toshiyuki 1 Mukaihira, Atsushi 1 Noumi, Masatoshi 1 Okada, Masami 1 Peherstorfer, Franz 1 Petronilho, José C. 1 Quintero, Niurka R. 1 Reshetikhin, Nikolai Yu. 1 SaŁapata, RafaŁ 1 Sekiguchi, Takeshi 1 Shiota, Yasunobu 1 Sokolov, M. A. 1 Tarasov, Vitaly Olegovich 1 Tsuda, Teruhisa
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#### Cited in 26 Serials

 4 Communications in Mathematical Physics 3 Duke Mathematical Journal 3 Journal of Functional Analysis 3 Proceedings of the Japan Academy. Series A 2 Journal of Mathematical Analysis and Applications 2 Journal of Computational and Applied Mathematics 2 Nagoya Mathematical Journal 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Letters in Mathematical Physics 1 Advances in Mathematics 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Studies in Applied Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Japan Journal of Applied Mathematics 1 Linear Algebra and its Applications 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Journal of Difference Equations and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
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#### Cited in 18 Fields

 26 Special functions (33-XX) 9 Difference and functional equations (39-XX) 8 Nonassociative rings and algebras (17-XX) 4 Combinatorics (05-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Quantum theory (81-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Global analysis, analysis on manifolds (58-XX)