This article is cited in 1 paper

Zeros of holomorphic functions of finite order in the polydisc

P. L. Polyakov


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.

UDC: 517.5

MSC: 32A22

Received: 01.08.1985 and 25.04.1986

 English version: Mathematics of the USSR-Sbornik, 1988, 61:1, 103–112

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