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Title: On the zero sets of bounded holomorphic functions in the bidisc
Author: Charpentier, Philippe
Ortega Cerdà, Joaquim
Keywords: Funcions holomorfes
Funcions de diverses variables complexes
Espais analítics
Holomorphic functions
Functions of several complex variables
Analytic spaces
Issue Date: 1-Jun-1996
Publisher: Mathematical Sciences Publishers (MSP)
Abstract: In this work we prove in a constructive way a theorem of Rudin which says that if $E$ is an analytic subset of the bidisc $D^2$ (with multiplicities) which does not intersect a neighbourhood of the distinguished boundary, then $E$ is the zero set (with multiplicities) of a bounded holomorphic function. This approach allows us to generalize this theorem and also some results obtained by P.S.Chee.
Note: Reproducció del document publicat a:
It is part of: Pacific Journal of Mathematics, 1996, vol. 174, num. 2, p. 327-346
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ISSN: 0030-8730
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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