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Author ID: yoshioka.akira Recent zbMATH articles by "Yoshioka, Akira"
Published as: Yoshioka, Akira; Yoshioka, A.; Yoshiaka, Akira
Documents Indexed: 79 Publications since 1970
14 Contributions as Editor
Reviewing Activity: 26 Reviews
Co-Authors: 23 Co-Authors with 78 Joint Publications
301 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 195 times in 126 Documents Cited by Year
Weyl manifolds and deformation quantization. Zbl 0734.58011
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
66
1991
On regular Frechet-Lie groups. IV: Definition and fundamental theorems. Zbl 0515.58004
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu
15
1982
Existence of a closed star product. Zbl 0771.58017
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
10
1992
On regular Frechet-Lie groups. V: Several basic properties. Zbl 0526.58003
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu
9
1983
A parallel finite element method with a supercomputer network. Zbl 0775.73301
Yagawa, G.; Yoshioka, A.; Yoshimura, S.; Soneda, N.
8
1993
Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product. Zbl 0987.53036
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
8
2000
On regular Frechet-Lie groups. I: Some differential geometrical expressions of Fourier-integral operators on a Riemannian manifold. Zbl 0461.58003
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
6
1980
On regular Fréchet-Lie groups. VIII: Primordial operators and Fourier integral operators. Zbl 0582.58034
Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu; Yoshioka, Akira
5
1985
Theory of infinite dimensional Lie groups and its applications. Zbl 0527.58002
Kobayashi, Osamu; Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki
5
1985
Deformation quantizations of Poisson algebras. Zbl 0820.58027
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
5
1994
On regular Fréchet-Lie groups. VII: The group generated by pseudo- differential operators of negative order. Zbl 0565.58037
Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu
4
1984
On regular Frechet-Lie groups. II: Composition rules of Fourier-integral operators on a Riemannian manifold. Zbl 0486.58002
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
4
1981
On regular Frechet-Lie groups. III: A second cohomology class related to the Lie algebra of pseudo-differential operators of order one. Zbl 0486.58003
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu
4
1981
On regular Fréchet-Lie groups. VI: Infinite dimensional Lie groups which appear in general relativity. Zbl 0537.58005
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu
4
1983
Strange phenomena related to ordering problems in quantizations. Zbl 1046.53057
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
4
2003
Star exponential functions as two-valued elements. Zbl 1076.53105
Maeda, Y.; Miyazaki, N.; Omori, H.; Yoshioka, A.
4
2005
Orderings and non-formal deformation quantization. Zbl 1136.53064
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
4
2007
Maslov’s quantization conditions for the bound states of the hydrogen atom. Zbl 0614.58013
Yoshioka, Akira
3
1986
Non-formal deformation quantization of Fréchet-Poisson algebras: the Heisenberg Lie algebra case. Zbl 1215.53081
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
3
2007
Chiral anomaly on a spin manifold. Zbl 0753.53055
Watanabe, Hiroshi; Yoshioka, Akira
2
1991
Anomalous quadratic exponentials in the star-products. Zbl 0968.53508
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
2
2000
Star exponential functions for quadratic forms and polar elements. Zbl 1047.53057
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
2
2002
Star functions: examples and applications. Zbl 1350.53112
Yoshioka, Akira; Kanazawa, Tomoyo
2
2015
The uniqueness of star-products on \(\mathbb{P}_ n(\mathbb{C})\). Zbl 0785.53024
Omori, H.; Maeda, Y.; Yoshioka, A.
1
1993
A rigorous construction of the chiral anomaly on a spin manifold. Zbl 0791.58088
Watanabe, Hiroshi; Yoshioka, Akira
1
1994
A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras. Zbl 0803.17007
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
1
1994
Poincaré-Cartan class and deformation quantization of Kähler manifolds. Zbl 0926.53035
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
1
1998
Deformation quantizations of the Poisson algebra of Laurent polynomials. Zbl 0951.53058
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
1
1998
Noncommutative 3-sphere: a model of noncommutative contact algebras. Zbl 1024.53058
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
1
1998
Noncommutative 3-sphere as an example of noncommutative contact algebras. Zbl 0890.17022
Omori, Hideki; Miyazaki, Naoya; Yoshioka, Akira; Maeda, Yoshiaki
1
1997
The quasi-classical calculation of eigenvalues for the Bochner-Laplacian on a line bundle. Zbl 0708.58028
Yoshioka, Akira
1
1989
A construction of a deformation quantization of a Poisson algebra. Zbl 1077.53515
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
1
1993
Singular systems of exponential functions. Zbl 1049.53063
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
1
2001
A remark on the group of orthogonal similitudes. Zbl 0206.04104
Hijikata, H.; Yoshioka, A.
1
1970
Contact Weyl manifold over a symplectic manifold. Zbl 1045.53057
Yoshioka, Akira
1
2002
Construction of symplectic-Haantjes manifold of certain Hamiltonian systems. Zbl 1387.70018
Hosokawa, Kiyonori; Takeuchi, Tsukasa; Yoshioka, Akira
1
2018
Star product, star exponential and applications. Zbl 1388.53101
Yoshioka, Akira
1
2018
\(2+1\)-Moulton configuration. Zbl 1416.70012
Yoshimi, Naoko; Yoshioka, Akira
1
2018
\(3+1\)-Moulton configuration. Zbl 1459.70032
Yoshimi, Naoko; Yoshioka, Akira
1
2018
Construction of symplectic-Haantjes manifold of certain Hamiltonian systems. Zbl 1387.70018
Hosokawa, Kiyonori; Takeuchi, Tsukasa; Yoshioka, Akira
1
2018
Star product, star exponential and applications. Zbl 1388.53101
Yoshioka, Akira
1
2018
\(2+1\)-Moulton configuration. Zbl 1416.70012
Yoshimi, Naoko; Yoshioka, Akira
1
2018
\(3+1\)-Moulton configuration. Zbl 1459.70032
Yoshimi, Naoko; Yoshioka, Akira
1
2018
Star functions: examples and applications. Zbl 1350.53112
Yoshioka, Akira; Kanazawa, Tomoyo
2
2015
Orderings and non-formal deformation quantization. Zbl 1136.53064
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
4
2007
Non-formal deformation quantization of Fréchet-Poisson algebras: the Heisenberg Lie algebra case. Zbl 1215.53081
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
3
2007
Star exponential functions as two-valued elements. Zbl 1076.53105
Maeda, Y.; Miyazaki, N.; Omori, H.; Yoshioka, A.
4
2005
Strange phenomena related to ordering problems in quantizations. Zbl 1046.53057
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
4
2003
Star exponential functions for quadratic forms and polar elements. Zbl 1047.53057
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
2
2002
Contact Weyl manifold over a symplectic manifold. Zbl 1045.53057
Yoshioka, Akira
1
2002
Singular systems of exponential functions. Zbl 1049.53063
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
1
2001
Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product. Zbl 0987.53036
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
8
2000
Anomalous quadratic exponentials in the star-products. Zbl 0968.53508
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
2
2000
Poincaré-Cartan class and deformation quantization of Kähler manifolds. Zbl 0926.53035
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
1
1998
Deformation quantizations of the Poisson algebra of Laurent polynomials. Zbl 0951.53058
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
1
1998
Noncommutative 3-sphere: a model of noncommutative contact algebras. Zbl 1024.53058
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
1
1998
Noncommutative 3-sphere as an example of noncommutative contact algebras. Zbl 0890.17022
Omori, Hideki; Miyazaki, Naoya; Yoshioka, Akira; Maeda, Yoshiaki
1
1997
Deformation quantizations of Poisson algebras. Zbl 0820.58027
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
5
1994
A rigorous construction of the chiral anomaly on a spin manifold. Zbl 0791.58088
Watanabe, Hiroshi; Yoshioka, Akira
1
1994
A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras. Zbl 0803.17007
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
1
1994
A parallel finite element method with a supercomputer network. Zbl 0775.73301
Yagawa, G.; Yoshioka, A.; Yoshimura, S.; Soneda, N.
8
1993
The uniqueness of star-products on \(\mathbb{P}_ n(\mathbb{C})\). Zbl 0785.53024
Omori, H.; Maeda, Y.; Yoshioka, A.
1
1993
A construction of a deformation quantization of a Poisson algebra. Zbl 1077.53515
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
1
1993
Existence of a closed star product. Zbl 0771.58017
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
10
1992
Weyl manifolds and deformation quantization. Zbl 0734.58011
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
66
1991
Chiral anomaly on a spin manifold. Zbl 0753.53055
Watanabe, Hiroshi; Yoshioka, Akira
2
1991
The quasi-classical calculation of eigenvalues for the Bochner-Laplacian on a line bundle. Zbl 0708.58028
Yoshioka, Akira
1
1989
Maslov’s quantization conditions for the bound states of the hydrogen atom. Zbl 0614.58013
Yoshioka, Akira
3
1986
On regular Fréchet-Lie groups. VIII: Primordial operators and Fourier integral operators. Zbl 0582.58034
Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu; Yoshioka, Akira
5
1985
Theory of infinite dimensional Lie groups and its applications. Zbl 0527.58002
Kobayashi, Osamu; Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki
5
1985
On regular Fréchet-Lie groups. VII: The group generated by pseudo- differential operators of negative order. Zbl 0565.58037
Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu
4
1984
On regular Frechet-Lie groups. V: Several basic properties. Zbl 0526.58003
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu
9
1983
On regular Fréchet-Lie groups. VI: Infinite dimensional Lie groups which appear in general relativity. Zbl 0537.58005
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu
4
1983
On regular Frechet-Lie groups. IV: Definition and fundamental theorems. Zbl 0515.58004
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu
15
1982
On regular Frechet-Lie groups. II: Composition rules of Fourier-integral operators on a Riemannian manifold. Zbl 0486.58002
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
4
1981
On regular Frechet-Lie groups. III: A second cohomology class related to the Lie algebra of pseudo-differential operators of order one. Zbl 0486.58003
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu
4
1981
On regular Frechet-Lie groups. I: Some differential geometrical expressions of Fourier-integral operators on a Riemannian manifold. Zbl 0461.58003
Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira
6
1980
A remark on the group of orthogonal similitudes. Zbl 0206.04104
Hijikata, H.; Yoshioka, A.
1
1970
all top 5

Cited by 140 Authors

13 Waldmann, Stefan
9 Yoshioka, Akira
6 Maeda, Yoshiaki
6 Sako, Akifumi
4 Gutt, Simone
4 Karabegov, Alexander V.
4 Karasev, Mikhail Vladimirovich
4 Michor, Peter Wolfram
4 Miyazaki, Naoya
4 Neeb, Karl-Hermann
4 Omori, Hideki
4 Umetsu, Hiroshi
3 Bieliavsky, Pierre
3 Bursztyn, Henrique
3 La Fuente Gravy, Laurent
3 Neumaier, Nikolai
3 Pestov, Vladimir G.
3 Schlichenmaier, Martin
2 Alzaareer, Hamza
2 Bordemann, Martin
2 de Goursac, Axel Marcillaud
2 Dias, Nuno Costa
2 Hanusch, Maximilian
2 Hirota, Yuji
2 Nable, Job A.
2 Prata, João Nuno
2 Rawnsley, John H.
2 Schötz, Matthias
2 Solov’ev, Mikhaĭl Aleksandrovich
2 Suzuki, Toshiya
2 Takeuchi, Tsukasa
2 Uwano, Yoshio
2 Watanabe, Hiroshi
2 Yoshimi, Naoko
1 Abbati, Maria Cristina
1 Adams, Malcolm R.
1 Ali, Syed Twareque
1 Asakawa, Tsuguhiko
1 Asin Lares, Santos
1 Baez, John C.
1 Becher, Florian
1 Bedida, Nabila
1 Beiser, Svea
1 Bertram, Wolfgang
1 Brischle, M.
1 Brzeziński, Tomasz
1 Cahen, Michel
1 Carballo Pérez, B.
1 Choie, YoungJu
1 Cirelli, Renzo
1 Dabrowski, Ludwik
1 D’Andrea, Francesco
1 De Wilde, Marc
1 Dito, Giuseppe
1 Dolgushev, Vasily A.
1 Donin, Joseph
1 Dumas, François
1 Emmrich, Claudio
1 Engliš, Miroslav
1 Fedosov, Boris Vasil’evich
1 Frønsdal, Christian
1 Futaki, Akito
1 Galaviz, Imelda
1 García-Compeán, Hugo
1 Glöckner, Helge
1 Gohara, Jumpei
1 Gordina, Maria
1 Gracia-Saz, Alfonso
1 Grigor’ev, O. N.
1 Grong, Erlend
1 Guillemin, Victor W.
1 Hamachi, Kentaro
1 Hara, Kentaro
1 Hattori, Tetsuya
1 Hawkins, Eli
1 Hermas, Nadji
1 Honegger, Reinhard
1 Ii, Kiyotaka
1 Kajiura, Hiroshige
1 Kanazawa, Tomoyo
1 Kishimoto, Isao
1 Kobayashi, Osamu
1 Kraus, Daniela
1 Kriegl, Andreas
1 Kupriyanov, Vladislav G.
1 Kuwabara, Ruishi
1 Léandre, Rémi
1 Ma, Tsoywo
1 Magnot, Jean-Pierre
1 Manià, Alessandro
1 Markina, Irina
1 Marquis, Timothée
1 Martin, François
1 Masmoudi, Mohsen
1 Monterde, Juan
1 Mumford, David Bryant
1 Muñoz Masqué, Jaime
1 Murrays, M. K.
1 Natividad, Laarni B.
1 Palamodov, Victor Pavlovitch
...and 40 more Authors
all top 5

Cited in 56 Serials

14 Letters in Mathematical Physics
13 Journal of Mathematical Physics
10 Journal of Geometry and Physics
7 Communications in Mathematical Physics
6 Journal of Functional Analysis
4 Reviews in Mathematical Physics
3 International Journal of Modern Physics A
3 Advances in Mathematics
2 Bulletin of the Australian Mathematical Society
2 Acta Applicandae Mathematicae
2 Annals of Global Analysis and Geometry
2 Expositiones Mathematicae
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Russian Journal of Mathematical Physics
2 Journal of Nonlinear Mathematical Physics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Modern Physics B
1 Communications in Algebra
1 Mathematical Notes
1 Nuclear Physics. B
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Acta Mathematica
1 Algebra and Logic
1 Annales de l’Institut Fourier
1 Functional Analysis and its Applications
1 Journal of Algebra
1 Journal of Differential Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Tohoku Mathematical Journal. Second Series
1 Bulletin of the Iranian Mathematical Society
1 Forum Mathematicum
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Georgian Mathematical Journal
1 Advances in Applied Clifford Algebras
1 Transformation Groups
1 Mathematical Physics, Analysis and Geometry
1 Journal of Group Theory
1 Annales Henri Poincaré
1 Analysis in Theory and Applications
1 International Journal of Geometric Methods in Modern Physics
1 Foundations of Physics
1 The European Physical Journal C. Particles and Fields
1 Proceedings of the Japan Academy
1 Japanese Journal of Mathematics. 3rd Series
1 Advances in Mathematical Physics
1 Analysis and Mathematical Physics
1 Mathematics

Citations by Year