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Author ID: shimomura.hiroaki Recent zbMATH articles by "Shimomura, Hiroaki"
Published as: Shimomura, Hiroaki
Documents Indexed: 36 Publications since 1975
Reviewing Activity: 58 Reviews
Co-Authors: 8 Co-Authors with 6 Joint Publications
24 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 109 times in 73 Documents Cited by Year
On group topologies and unitary representations of inductive limits of topological groups and the case of the group of diffeomorphisms. Zbl 0930.22002
Tatsuuma, Nobuhiko; Shimomura, Hiroaki; Hirai, Takeshi
21
1998
Inductive limits of topologies, their direct products, and problems related to algebraic structures. Zbl 1006.54051
Hirai, Takeshi; Shimomura, Hiroaki; Tatsuuma, Nobuhiko; Hirai, Etsuko
19
2001
Quasi-invariant measures on the group of diffeomorphisms and smooth vectors of unitary representations. Zbl 0997.58004
Shimomura, Hiroaki
9
2001
Poisson measures on the configuration space and unitary representations of the group of diffeomorphisms. Zbl 0874.57028
Shimomura, Hiroaki
9
1994
An aspect of quasi-invariant measures on \(R^\infty\). Zbl 0335.28012
Shimomura, Hiroaki
8
1976
Ergodic decomposition of quasi-invariant measures. Zbl 0391.60004
Shimomura, Hiroaki
8
1978
Some results on quasi-invariant measures on infinite-dimensional spaces. Zbl 0477.28009
Shimomura, Hiroaki
6
1981
An aspect of differentiable measures on \({\mathbb{R}}^{\infty}\). Zbl 0651.60005
Shimomura, Hiroaki
5
1987
Relations between unitary representations of diffeomorphism groups and those of the infinite symmetric group or of related permutation groups. Zbl 0897.22008
Hirai, Takeshi; Shimomura, Hiroaki
3
1997
On the construction of invariant measure over the orthogonal group on the Hilbert space by the method of Cayley transformation. Zbl 0318.43001
Shimomura, Hiroaki
3
1975
Quasi-invariant measures on the orthogonal group over the Hilbert space. Zbl 0546.28010
Shimomura, Hiroaki
2
1984
Unitary representations of the group of diffeomorphisms via restricted product measures with infinite mass. Zbl 1117.22011
Shimomura, Hiroaki
2
2005
Some new examples of quasi-invariant measures on a Hilbert space. Zbl 0335.28011
Shimomura, Hiroaki
2
1976
Linear transformation of quasi-invariant measures. Zbl 0359.28011
Shimomura, Hiroaki
2
1977
Rotationally-quasi-invariant measures on the dual of a Hilbert space. Zbl 0585.60019
Shimomura, Hiroaki
1
1985
Canonical representations generated by translationally quasi-invariant measures. Zbl 0874.60009
Shimomura, Hiroaki
1
1996
Remark to the paper ”Ergodic decomposition of quasi-invariant measures”. Zbl 0509.60008
Shimomura, Hiroaki
1
1983
Unitary representations and differential representations of the group of diffeomorphisms and its applications. Zbl 0984.22018
Shimomura, Hiroaki
1
2000
Remark to the ergodic decomposition of measures. Zbl 0716.28005
Shimomura, Hiroaki
1
1990
\(1\)-cocycles on the group of diffeomorphisms. II. Zbl 0952.22009
Shimomura, Hiroaki
1
1999
1-cocycles on the group of diffeomorphisms. Zbl 0952.58005
Shimomura, Hiroaki
1
1998
On group topologies on the group of diffeomorphisms. Zbl 0949.58001
Shimomura, Hiroaki; Hirai, Takeshi
1
1997
On the distributions of logarithmic derivative of differentiable measures on \({\mathbb{R}}\). Zbl 0702.60002
Shimomura, Hiroaki
1
1989
Irreducible decompositions of unitary representations of infinite-dimensional groups. Zbl 1087.58006
Shimomura, Hiroaki
1
2005
Unitary representations of the group of diffeomorphisms via restricted product measures with infinite mass. Zbl 1117.22011
Shimomura, Hiroaki
2
2005
Irreducible decompositions of unitary representations of infinite-dimensional groups. Zbl 1087.58006
Shimomura, Hiroaki
1
2005
Inductive limits of topologies, their direct products, and problems related to algebraic structures. Zbl 1006.54051
Hirai, Takeshi; Shimomura, Hiroaki; Tatsuuma, Nobuhiko; Hirai, Etsuko
19
2001
Quasi-invariant measures on the group of diffeomorphisms and smooth vectors of unitary representations. Zbl 0997.58004
Shimomura, Hiroaki
9
2001
Unitary representations and differential representations of the group of diffeomorphisms and its applications. Zbl 0984.22018
Shimomura, Hiroaki
1
2000
\(1\)-cocycles on the group of diffeomorphisms. II. Zbl 0952.22009
Shimomura, Hiroaki
1
1999
On group topologies and unitary representations of inductive limits of topological groups and the case of the group of diffeomorphisms. Zbl 0930.22002
Tatsuuma, Nobuhiko; Shimomura, Hiroaki; Hirai, Takeshi
21
1998
1-cocycles on the group of diffeomorphisms. Zbl 0952.58005
Shimomura, Hiroaki
1
1998
Relations between unitary representations of diffeomorphism groups and those of the infinite symmetric group or of related permutation groups. Zbl 0897.22008
Hirai, Takeshi; Shimomura, Hiroaki
3
1997
On group topologies on the group of diffeomorphisms. Zbl 0949.58001
Shimomura, Hiroaki; Hirai, Takeshi
1
1997
Canonical representations generated by translationally quasi-invariant measures. Zbl 0874.60009
Shimomura, Hiroaki
1
1996
Poisson measures on the configuration space and unitary representations of the group of diffeomorphisms. Zbl 0874.57028
Shimomura, Hiroaki
9
1994
Remark to the ergodic decomposition of measures. Zbl 0716.28005
Shimomura, Hiroaki
1
1990
On the distributions of logarithmic derivative of differentiable measures on \({\mathbb{R}}\). Zbl 0702.60002
Shimomura, Hiroaki
1
1989
An aspect of differentiable measures on \({\mathbb{R}}^{\infty}\). Zbl 0651.60005
Shimomura, Hiroaki
5
1987
Rotationally-quasi-invariant measures on the dual of a Hilbert space. Zbl 0585.60019
Shimomura, Hiroaki
1
1985
Quasi-invariant measures on the orthogonal group over the Hilbert space. Zbl 0546.28010
Shimomura, Hiroaki
2
1984
Remark to the paper ”Ergodic decomposition of quasi-invariant measures”. Zbl 0509.60008
Shimomura, Hiroaki
1
1983
Some results on quasi-invariant measures on infinite-dimensional spaces. Zbl 0477.28009
Shimomura, Hiroaki
6
1981
Ergodic decomposition of quasi-invariant measures. Zbl 0391.60004
Shimomura, Hiroaki
8
1978
Linear transformation of quasi-invariant measures. Zbl 0359.28011
Shimomura, Hiroaki
2
1977
An aspect of quasi-invariant measures on \(R^\infty\). Zbl 0335.28012
Shimomura, Hiroaki
8
1976
Some new examples of quasi-invariant measures on a Hilbert space. Zbl 0335.28011
Shimomura, Hiroaki
2
1976
On the construction of invariant measure over the orthogonal group on the Hilbert space by the method of Cayley transformation. Zbl 0318.43001
Shimomura, Hiroaki
3
1975
all top 5

Cited by 74 Authors

15 Shimomura, Hiroaki
11 Glöckner, Helge
3 Hora, Akihito
3 Rabaoui, Marouane
2 Arutyunyan, Lavrentin Martunovich
2 Banakh, Taras Onufrievich
2 Dahmen, Rafael
2 Kosov, Egor D.
2 Oblak, Blagoje
2 Repovš, Dušan D.
2 Schmeding, Alexander
2 Tatsuuma, Nobuhiko
1 Albeverio, Sergio A.
1 Arias-Valero, Juan Sebastián
1 Barnich, Glenn
1 Beaudry, Agnès
1 Bédos, Erik
1 Bendong, Jerome B.
1 Bingham, Nicholas Hugh
1 Bogachev, Leonid V.
1 Bogachev, Vladimir Igorevich
1 Brouder, Christian
1 Cabau, Patrick
1 Conti, Roberto
1 da Silva, José Luís
1 Daletskii, Alexei
1 Dang, Nguyen Viet
1 Danilenko, Alexandre I.
1 Deng, Changsong
1 Evington, Samuel
1 Faisal, Shah
1 Fanlo, Arturo Rodriguez
1 Fidaleo, Francesco
1 Gabriyelyan, Saak S.
1 Girón Pacheco, Sergio
1 Gray, W. Steven
1 Hartnick, Tobias
1 Hermele, Michael
1 Jain, Sakshi
1 Khafizov, M. U.
1 Köhl, Ralf
1 Kondrat’yev, Yuriĭ Grygorovych
1 Kosloff, Zemer
1 Krugova, Elena P.
1 Laurent-Gengoux, Camille
1 Lin, Fucai
1 Lluis-Puebla, Emilio
1 Ludkovsky, Sergey Victor
1 Lukács, Gábor
1 Menchavez, Sheila M.
1 Mine, Kotaro
1 Mochizuki, Shinichi
1 Neeb, Karl-Hermann
1 Neretin, Yuriĭ Aleksandrovich
1 Nikitin, Natalie
1 Okazaki, Yoshiaki
1 Ostaszewski, Adam J.
1 Palmstrøm, Mathias
1 Pelletier, Fernand
1 Pflaum, Markus J.
1 Qi, Marvin
1 Raugi, Albert
1 Rejzner, Katarzyna
1 Röckner, Michael
1 Roy, Emmanuel
1 Sakai, Katsuro
1 Smolentsev, Nikolaĭ Konstantinovich
1 Spiegel, Daniel D.
1 Takahashi, Yasuji
1 Xie, Lihong
1 Yagasaki, Tatsuhiko
1 Yamasaki, Yasuo
1 Yoo, Hyun Jae
1 Zhang, Jing
all top 5

Cited in 36 Serials

16 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Journal of Functional Analysis
6 Topology and its Applications
3 Mathematische Zeitschrift
3 Journal of Mathematical Sciences (New York)
3 Kyoto Journal of Mathematics
2 Mathematical Notes
2 Mathematische Nachrichten
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Reviews in Mathematical Physics
1 Canadian Journal of Mathematics
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Ergodic Theory and Dynamical Systems
1 Journal of Theoretical Probability
1 International Journal of Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Mathematical Communications
1 Positivity
1 Acta Mathematica Sinica. English Series
1 Journal of Mathematical Logic
1 Journal of High Energy Physics
1 Foundations of Computational Mathematics
1 Journal of Mathematics and Music
1 Banach Journal of Mathematical Analysis
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions

Citations by Year