Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/164559
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: https://doi.org/10.2140/pjm.1996.174.327 |
It is part of: | Pacific Journal of Mathematics, 1996, vol. 174, num. 2, p. 327-346 |
URI: | http://hdl.handle.net/2445/164559 |
Related resource: | https://doi.org/10.2140/pjm.1996.174.327 |
ISSN: | 0030-8730 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
136634.pdf | 1.52 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.