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Mathematics of the USSR-Izvestiya, 1992, Volume 38, Issue 3, Pages 637–645
DOI: https://doi.org/10.1070/IM1992v038n03ABEH002218 (Mi im1004) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The extended matrix disk is a domain of holomorphy

A. G. Sergeev, P. Heinzner
English version PDF (590 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1992v038n03ABEH002218
Abstract: It is proved that the extended matrix disk is a domain of holomorphy. This gives a positive answer to a conjecture that is a “compact” analogue of the conjecture on the extended future tube.
Received: 01.10.1990
Bibliographic databases:
Document Type: Article
UDC: 517.55
MSC: Primary 32A07; Secondary 32D05
Language: English
Original paper language: Russian
Citation: A. G. Sergeev, P. Heinzner, “The extended matrix disk is a domain of holomorphy”, Math. USSR-Izv., 38:3 (1992), 637–645
Citation in format AMSBIB
\Bibitem{SerHei91}
\by A.~G.~Sergeev, P.~Heinzner
\paper The extended matrix disk is a domain of holomorphy
\jour Math. USSR-Izv.
\yr 1992
\vol 38
\issue 3
\pages 637--645
\mathnet{http://mi.mathnet.ru/eng/im1004}
\crossref{https://doi.org/10.1070/IM1992v038n03ABEH002218}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1129830}
\zmath{https://zbmath.org/?q=an:0788.32006|0754.32006}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..38..637S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JE94100010}
Linking options:
  • https://www.mathnet.ru/eng/im1004
  • https://doi.org/10.1070/IM1992v038n03ABEH002218
  • https://www.mathnet.ru/eng/im/v55/i3/p647
    • This publication is cited in the following 5 articles:
    1. A. G. Sergeev, Xiangyu Zhou, “Invariant domains of holomorphy: Twenty years later”, Proc. Steklov Inst. Math., 285 (2014), 241–250  mathnet  crossref  crossref  isi  elib  elib
    2. A. G. Sergeev, Xian-Yu Zhou, “Extended Future Tube Conjecture”, Proc. Steklov Inst. Math., 228 (2000), 25–42  mathnet  mathscinet  zmath
    3. X.-Yu. Zhou, “A proof of the extended future tube conjecture”, Izv. Math., 62:1 (1998), 201–213  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. Marek Jarnicki, Peter Pflug, “On the extended tube conjecture”, manuscripta math, 89:1 (1996), 461  crossref  mathscinet  zmath  isi
    5. Russian Acad. Sci. Izv. Math., 44:2 (1995), 403–413  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:518
    Russian version PDF:133
    English version PDF:24
    References:76
    First page:3
     
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