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 Tr. Mat. Inst. Steklova, 2014, Volume 285, Pages 253–263 (Mi tm3537)

Invariant domains of holomorphy: Twenty years later

A. G. Sergeeva, Xiangyu Zhoubc

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Institute of Mathematics, Academy of Mathematics and Systems Science, Beijing, China
c Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing, China

Abstract: This review is devoted to the domains of holomorphy invariant under holomorphic actions of real Lie groups. We have collected here the results on this subject obtained during the last twenty years, which have passed since the publication of the first review of the authors on this topic. This first review was mainly devoted to the case of compact transformation groups, while the first two sections of the present review deal mostly with noncompact groups. In Section 3 we discuss the problem of rigidity of automorphism groups of domains of holomorphy invariant under compact transformation groups.

DOI: https://doi.org/10.1134/S0371968514020174

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English version:
Proceedings of the Steklov Institute of Mathematics, 2014, 285, 241–250

Bibliographic databases:

UDC: 517.554

Citation: A. G. Sergeev, Xiangyu Zhou, “Invariant domains of holomorphy: Twenty years later”, Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Tr. Mat. Inst. Steklova, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 253–263; Proc. Steklov Inst. Math., 285 (2014), 241–250

Citation in format AMSBIB
\Bibitem{SerZho14} \by A.~G.~Sergeev, Xiangyu~Zhou \paper Invariant domains of holomorphy: Twenty years later \inbook Selected topics of mathematical physics and analysis \bookinfo Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth \serial Tr. Mat. Inst. Steklova \yr 2014 \vol 285 \pages 253--263 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3537} \crossref{https://doi.org/10.1134/S0371968514020174} \elib{http://elibrary.ru/item.asp?id=21726853} \transl \jour Proc. Steklov Inst. Math. \yr 2014 \vol 285 \pages 241--250 \crossref{https://doi.org/10.1134/S0081543814040178} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000339949700017} \elib{http://elibrary.ru/item.asp?id=24048445} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84926325573} 

• http://mi.mathnet.ru/eng/tm3537
• https://doi.org/10.1134/S0371968514020174
• http://mi.mathnet.ru/eng/tm/v285/p253

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This publication is cited in the following articles:
1. Zhou X., “A Survey on L 2 Extension Problem”, Complex Geometry and Dynamics, Abel Symposia, eds. Fornaess J., Irgens M., Wold E., Springer, 2015, 291–309
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