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Mathematics of the USSR-Sbornik, 1988, Volume 61, Issue 1, Pages 103–112
DOI: https://doi.org/10.1070/SM1988v061n01ABEH003194 (Mi sm1918) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Zeros of holomorphic functions of finite order in the polydisc

P. L. Polyakov
English version PDF (397 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM1988v061n01ABEH003194
Abstract: Estimates are proved for the volume of the zero set of a holomorphic function of finite order in the polydisc. These estimates make it possible to solve a problem posed by Stoll: namely, to prove that $\operatorname{ord}M=\min\{\operatorname{ord}f\}$ for an analytic subset $M$ of codimension 1 in the polydisc $D^n$ and holomorphic functions $f$ having $M$ as zero set.
Bibliography: 7 titles.
Received: 01.08.1985 and 25.04.1986
Bibliographic databases:
UDC: 517.5
MSC: 32A22
Language: English
Original paper language: Russian
Citation: P. L. Polyakov, “Zeros of holomorphic functions of finite order in the polydisc”, Math. USSR-Sb., 61:1 (1988), 103–112
Citation in format AMSBIB
\Bibitem{Pol87}
\by P.~L.~Polyakov
\paper Zeros of holomorphic functions of finite order in the polydisc
\jour Math. USSR-Sb.
\yr 1988
\vol 61
\issue 1
\pages 103--112
\mathnet{http://mi.mathnet.ru/eng/sm1918}
\crossref{https://doi.org/10.1070/SM1988v061n01ABEH003194}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=899001}
\zmath{https://zbmath.org/?q=an:0655.32003|0624.32002}
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    • This publication is cited in the following 1 articles:
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