# name
On the zero sets of bounded holomorphic functions in the bidisc

# metadata.dc.description.abstract[].value
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.

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Pacific Journal of Mathematics, 1996, vol. 174, num. 2, p. 327-346

# metadata.dc.rights[].value
(c) Mathematical Sciences Publishers (MSP), 1996

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.subject.classification[].value
Funcions de diverses variables complexes

# metadata.dc.title[].value
On the zero sets of bounded holomorphic functions in the bidisc