On the zero sets of bounded holomorphic functions in the bidisc

Consultar RECERCAT

Para acceder a los documentos con el texto completo, por favor, siga el siguiente enlace: http://hdl.handle.net/2117/827

Título:	On the zero sets of bounded holomorphic functions in the bidisc
Autor/a:	Charpentier, Philippe; Ortega Cerdà, Joaquim
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
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.
Materia(s):	-Functions of several complex variables -Holomorphic functions -Analytic spaces -Bounded Holomorphic Functions -zero sets -Funcions holomorfes -Espais analítics -Classificació AMS::32 Several complex variables and analytic spaces::32A Holomorphic functions of several complex variables -Classificació AMS::32 Several complex variables and analytic spaces::32C Analytic spaces
Derechos:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Tipo de documento:	Artículo
Compartir: