2024/06/06 更新

写真a

ヤマモリ アツシ
山盛 厚伺
YAMAMORI Atsushi
所属
情報工学部 情報工学科 准教授
大学院 工学研究科 修士課程 情報工学専攻 准教授
職名
准教授
外部リンク

研究キーワード

  • 正則自己同型群

  • ベルグマン核

  • 正則同値問題

研究分野

  • 自然科学一般 / 基礎解析学  / 多変数函数論

所属学協会

  • 日本数学会

論文

  • Two variations of Boas–Fu–Straube’s deflation identity 査読

    Atsushi Yamamori

    Archiv der Mathematik   113 ( 5 )   505 - 514   2019年11月

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    掲載種別:研究論文(国際会議プロシーディングス)  

    DOI: 10.1007/s00013-019-01369-8

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    その他リンク: http://link.springer.com/article/10.1007/s00013-019-01369-8/fulltext.html

  • On Origin-Preserving Automorphisms of Quasi-Circular Domains 査読

    Yamamori Atsushi, Zhang Liyou

    JOURNAL OF GEOMETRIC ANALYSIS   28 ( 2 )   1840 - 1852   2018年4月

  • The Holomorphic Automorphism Groups of Twisted Fock-Bargmann-Hartogs Domains 査読

    Hyeseon Kim, Atsushi Yamamori

    Czechoslovak Mathematical Journal   68 ( 143 )   1 - 21   2018年2月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:Springer New York LLC  

    We consider a certain class of unbounded nonhyperbolic Reinhardt domains which is called the twisted Fock-Bargmann-Hartogs domains. By showing Cartan’s linearity theorem for our unbounded nonhyperbolic domains, we give a complete description of the automorphism groups of twisted Fock-Bargmann-Hartogs domains.

    DOI: 10.21136/CMJ.2018.0551-16

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  • NON-HYPERBOLIC UNBOUNDED REINHARDT DOMAINS: NON-COMPACT AUTOMORPHISM GROUP, CARTAN'S LINEARITY THEOREM AND EXPLICIT BERGMAN KERNEL 査読

    Atsushi Yamamori

    TOHOKU MATHEMATICAL JOURNAL   69 ( 2 )   239 - 260   2017年6月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:TOHOKU UNIVERSITY  

    In the study of the holomorphic automorphism groups, many researches have been carried out inside the category of bounded or hyperbolic domains. On the contrary to these cases, for unbounded non-hyperbolic cases, only a few results are known about the structure of the holomorphic automorphism groups. Main result of the present paper gives a class of unbounded non-hyperbolic Reinhardt domains with non-compact automorphism groups, Car tan's linearity theorem and explicit Bergman kernels. Moreover, a reformulation of Caftan's linearity theorem for finite volume Reinhardt domains is also given.

    DOI: 10.2748/tmj/1498269625

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  • Bergman Kernel Function for Hartogs Domains Over Bounded Homogeneous Domains 査読

    Hideyuki Ishi, Jong-Do Park, Atsushi Yamamori

    JOURNAL OF GEOMETRIC ANALYSIS   27 ( 2 )   1703 - 1736   2017年4月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:SPRINGER  

    We obtain an explicit formula of the Bergman kernel for Hartogs domains over bounded homogeneous domains. In order to find a simple formula, we consider a Siegel domain biholomorphic to the bounded homogeneous domain and use its Bergman kernel obtained by Gindikin. The Bergman kernel of the Hartogs domain is expressed by two different forms and the main part of the Bergman kernel is a polynomial whose coefficients contain the Stirling number of the second kind. As an application of our formula, we investigate the Lu Qi-Keng problem for our Hartogs domains and give some important examples of Hartogs domains whose Bergman kernels are zero-free.

    DOI: 10.1007/s12220-016-9737-4

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  • Invariant metrics on unbounded strongly pseudoconvex domains with non-compact automorphism group 査読

    Hyeseon Kim, Atsushi Yamamori, Liyou Zhang

    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY   50 ( 3 )   261 - 295   2016年10月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:SPRINGER  

    We study invariant metrics on unbounded strongly pseudoconvex domains with non-compact automorphism group. The main result is that the corresponding Bergman and Khler-Einstein metrics are metrically equivalent. We also determine the comparisons among invariant metrics, including the Carath,odory and Kobayashi pseudo-metrics additionally.

    DOI: 10.1007/s10455-016-9511-7

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  • Yet Another Proof of Poincare's Theorem 査読

    Atsushi Yamamori

    AMERICAN MATHEMATICAL MONTHLY   122 ( 10 )   1003 - 1004   2015年12月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:MATHEMATICAL ASSOC AMER  

    This note gives a concise proof of a classical Poincare's theorem which asserts that the unit ball B-2 and the polydisk D x D are not holomorphically equivalent.

    DOI: 10.4169/amer.math.monthly.122.10.1003

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  • An application of a Diederich-Ohsawa theorem in characterizing some Hartogs domains 査読

    Hyeseon Kim, Atsushi Yamamori

    BULLETIN DES SCIENCES MATHEMATIQUES   139 ( 7 )   737 - 749   2015年10月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:ELSEVIER SCIENCE BV  

    Applying a theorem due to Diederich and Ohsawa on weighted Bergman kernels, we characterize some Hartogs domains by their holomorphic automorphisms. (C) 2014 Elsevier Masson SAS. All rights reserved.

    DOI: 10.1016/j.bulsci.2014.11.007

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  • On the linearity of origin-preserving automorphisms of quasi-circular domains in C-n 査読

    Atsushi Yamamori

    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS   426 ( 1 )   612 - 623   2015年6月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:ACADEMIC PRESS INC ELSEVIER SCIENCE  

    A theorem due to Cartan asserts that every origin-preserving automorphism of bounded circular domains with respect to the origin is linear. In the present paper, by employing the theory of Bergman's representative domain, we prove that under certain circumstances Cartan's assertion remains true for quasi-circular domains in C-n. Our main result is applied to obtain some simple criterions for the case n = 3 and to prove that Braun-Kaup-Upmeier's theorem remains true for our class of quasi-circular domains. (C) 2015 Elsevier Inc. All rights reserved.

    DOI: 10.1016/j.jmaa.2015.01.061

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  • A GENERALIZATION OF THE FORELLI-RUDIN CONSTRUCTION AND DEFLATION IDENTITIES 査読

    Atsushi Yamamori

    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY   143 ( 4 )   1569 - 1581   2015年4月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:AMER MATHEMATICAL SOC  

    We establish a series representation formula of the Bergman kernel of a certain class of domains, which generalizes the Forelli-Rudin construction of the Hartogs domain. Our formula is applied to derive deflation type identities of the Bergman kernels for our domains.

    DOI: 10.1090/S0002-9939-2014-12317-3

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  • On Representative Domains and Cartan's Theorem 査読

    Atsushi Yamamori

    COMPLEX ANALYSIS AND GEOMETRY, KSCV 10   144   343 - 351   2015年

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    記述言語:英語   掲載種別:研究論文(国際会議プロシーディングス)   出版者・発行元:SPRINGER  

    This is a short survey article on Cartan's theorem about automorphisms fixing the origin for certain class of quasi-circular domains and non-hyperbolic circular domains. Some open problems are also given.

    DOI: 10.1007/978-4-431-55744-9_26

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  • Automorphisms of normal quasi-circular domains 査読

    Atsushi Yamamori

    BULLETIN DES SCIENCES MATHEMATIQUES   138 ( 3 )   406 - 415   2014年4月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:ELSEVIER SCIENCE BV  

    It was shown by Kaup that every origin-preserving automorphism of quasi-circular domains is a polynomial mapping. In this paper, we study how the weight of quasi-circular domains and the degree of such automorphisms are related. By using the Bergman mapping, we prove that every origin-preserving automorphism of normal quasi-circular domains in C-2 is linear. (C) 2013 Elsevier Masson SAS. All rights reserved.

    DOI: 10.1016/j.bulsci.2013.10.002

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  • The automorphism group of a certain unbounded non-hyperbolic domain 査読

    Hyeseon Kim, Van Thu Ninh, Atsushi Yamamori

    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS   409 ( 2 )   637 - 642   2014年1月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:ACADEMIC PRESS INC ELSEVIER SCIENCE  

    In this paper we determine the automorphism group of the Fock-Bargmann-Hartogs domain D-n,D-m in C-n x C-m which is defined by the inequality parallel to delta parallel to(2) < e(-mu parallel to z parallel to 2). (c) 2013 Elsevier Inc. All rights reserved.

    DOI: 10.1016/j.jmaa.2013.07.007

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  • The Bergman kernel of the FockBargmannHartogs domain and the polylogarithm function 査読

    Atsushi Yamamori

    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS   58 ( 6 )   783 - 793   2013年6月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:TAYLOR & FRANCIS LTD  

    We consider the FockBargmannHartogs domain D-n,D-m which is defined by the inequality where (z,)C(n)xC(m) and >0. We give an explicit formula for the Bergman kernel of the domain in terms of the polylogarithm functions. Moreover, using the interlacing property, we describe how the existence of zeros of the Bergman kernel depends on the integers m and n.

    DOI: 10.1080/17476933.2011.620098

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  • A note on the Bergman kernel of a certain Hartogs domain 査読

    Atsushi Yamamori

    COMPTES RENDUS MATHEMATIQUE   350 ( 17-18 )   827 - 829   2012年9月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER  

    We give an explicit formula of the Bergman kernel of a certain Hartogs domain. (C) 2012 Published by Elsevier Masson SAS on behalf of Academie des sciences.

    DOI: 10.1016/j.crma.2012.10.009

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  • A remark on the Bergman kernels of the Cartan-Hartogs domains 査読

    Atsushi Yamamori

    COMPTES RENDUS MATHEMATIQUE   350 ( 3-4 )   157 - 160   2012年2月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER  

    We give a new formula for the Bergman kernels of the Cartan-Hartogs domains. As an application of our formula, we study the Lu Qi-Keng problem of the Cartan-Hartogs domains. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

    DOI: 10.1016/j.crma.2012.01.005

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  • Generalized Laplacians on classical domains 査読

    Atsushi Yamamori

    RIMS Kokyuroku Bessatsu   B20   163 - 171   2010年10月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)  

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  • Eigenvalues of generalized Laplacians for generalized Poisson-Cauchy transforms on classical domains 査読

    Eisuke Imamura, Kiyosato Okamoto, Michiroh Tsukamoto, Atsushi Yamamori

    HIROSHIMA MATHEMATICAL JOURNAL   39 ( 2 )   237 - 275   2009年7月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:HIROSHIMA UNIV, GRAD SCH SCI  

    We develop a group-theoretic method to generalize the Laplace-Beltrami operators on the classical domains. In [11], inspired by Helgason's paper [3], we defined the "Poisson transforms'' for homogeneous vector bundles over symmetric spaces. In [13], we defined the generalized Poisson-Cauchy transforms for homogeneous holomorphic line bundles over hermitian symmetric spaces and computed explicitly the kernel functions for each type of the classical domains. In [7], making use of the Casimir operator, we defined the "generalized Laplacians'' on homogeneous holomorphic line bundles over hermitian symmetric spaces and showed that the generalized Poisson-Cauchy transforms give rise to eigenfunctions of the "generalized Laplacians''. In this paper, using the canonical coordinates for each type of the classical domains, we carry out the direct computation to obtain the explicit formulas of ( line bundle valued) invariant differential operators which we call the generalized Laplacians and compute their eigenvalues evaluated at the generalized Poisson-Cauchy kernel functions.

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  • Generalized Laplacians for generalized Poisson-Cauchy transforms on classical domains 査読

    Eisuke Imamura, Kiyosato Okamoto, Michiroh Tsukamoto, Atsushi Yamamori

    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES   82 ( 9 )   167 - 172   2006年11月

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    記述言語:英語   掲載種別:研究論文(学術雑誌)   出版者・発行元:JAPAN ACAD  

    We develop a group-theoretic method of generalizing the Laplace-Beltrami operators on the classical domains. In [18], we defined the generalized Poisson-Cauchy transforms on the classical domains. We show that the generalized Poisson-Cauchy transforms give us eigenfunctions of the generalized Laplacians defined in this paper.

    DOI: 10.3792/pjaa.82.167

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