On the zero sets of bounded holomorphic functions in the bidisc

Consultar RECERCAT

Per accedir als documents amb el text complet, si us plau, seguiu el següent enllaç: http://hdl.handle.net/2117/827

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor.author	Charpentier, Philippe
dc.contributor.author	Ortega Cerdà, Joaquim
dc.date	1994
dc.identifier.uri	http://hdl.handle.net/2117/827
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Functions of several complex variables
dc.subject	Holomorphic functions
dc.subject	Analytic spaces
dc.subject	Bounded Holomorphic Functions
dc.subject	zero sets
dc.subject	Funcions holomorfes
dc.subject	Espais analítics
dc.subject	Classificació AMS::32 Several complex variables and analytic spaces::32A Holomorphic functions of several complex variables
dc.subject	Classificació AMS::32 Several complex variables and analytic spaces::32C Analytic spaces
dc.title	On the zero sets of bounded holomorphic functions in the bidisc
dc.type	info:eu-repo/semantics/article
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.

Carroll, Tom; Ortega Cerdà, Joaquim

Bruna, Joaquim; Ortega Cerdà, Joaquim

Massaneda Clares, Francesc Xavier; Ortega Cerdà, Joaquim; Ounaïes, Myriam

Ortega Cerdà, Joaquim

Massaneda Clares, Francesc Xavier; Ortega Cerdà, Joaquim

Coordinació

Patrocini