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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 2, Pages 154–165 (Mi smj1682)  
This article is cited in 1 scientific paper (total in 1 paper)

On reducibility of zero sets of entire functions of several variables

A. B. Sekerin
Full-text PDF (1366 kB) Citations (1)
Abstract: In the article is given a necessary and sufficient condition for a plurisubharmonic function to be representable as the integral whose kernel is the logarithm of the modulus of a holomorphic polynomial of a fixed degree. The indicated condition is formulated in terms of the properties of the Radon transform. Grounding on this result, the article establishes a necessary and sufficient condition for an entire function of several variables to be presentable as an infinite product of polynomials whose degrees do not exceed a fixed number.
Received: 01.07.1991
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 2, Pages 337–346
DOI: https://doi.org/10.1007/BF00970959
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: A. B. Sekerin, “On reducibility of zero sets of entire functions of several variables”, Sibirsk. Mat. Zh., 34:2 (1993), 154–165; Siberian Math. J., 34:2 (1993), 337–346
Citation in format AMSBIB
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\by A.~B.~Sekerin
\paper On reducibility of zero sets of entire functions of several variables
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 2
\pages 154--165
\mathnet{http://mi.mathnet.ru/smj1682}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1223764}
\zmath{https://zbmath.org/?q=an:0842.32012}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 2
\pages 337--346
\crossref{https://doi.org/10.1007/BF00970959}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LK58100015}
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  • https://www.mathnet.ru/eng/smj/v34/i2/p154
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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