dc.contributor.author
Charpentier, Philippe
dc.contributor.author
Ortega Cerdà, Joaquim
dc.date.issued
2020-06-06T08:59:21Z
dc.date.issued
2020-06-06T08:59:21Z
dc.date.issued
1996-06-01
dc.date.issued
2020-06-06T08:59:21Z
dc.identifier
https://hdl.handle.net/2445/164559
dc.description.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.
dc.format
application/pdf
dc.publisher
Mathematical Sciences Publishers (MSP)
dc.relation
Reproducció del document publicat a: https://doi.org/10.2140/pjm.1996.174.327
dc.relation
Pacific Journal of Mathematics, 1996, vol. 174, num. 2, p. 327-346
dc.relation
https://doi.org/10.2140/pjm.1996.174.327
dc.rights
(c) Mathematical Sciences Publishers (MSP), 1996
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Funcions holomorfes
dc.subject
Funcions de diverses variables complexes
dc.subject
Espais analítics
dc.subject
Holomorphic functions
dc.subject
Functions of several complex variables
dc.subject
Analytic spaces
dc.title
On the zero sets of bounded holomorphic functions in the bidisc
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
