Vol. 59, No. 1, 1975

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Components of zero sets of analytic functions in C2 in the unit ball or polydisc

Bert Alan Taylor

Vol. 59 (1975), No. 1, 253–265
Abstract

Let Ω denote either the unit ball or unit polydisc in C2. Let f be a function analytic on a neighborhood of the closure of Ω, and let V be an irreducible component of {f = 0}∩ Ω. Then there is a bounded analytic function on Ω whose zero set is V .

Mathematical Subject Classification 2000
Primary: 32A10
Milestones
Received: 28 March 1975
Published: 1 July 1975
Authors
Bert Alan Taylor