Charpentier, PhilippeOrtega Cerdà, Joaquim2020-06-062020-06-061996-06-010030-8730https://hdl.handle.net/2445/164559In 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.20 p.application/pdfeng(c) Mathematical Sciences Publishers (MSP), 1996Funcions holomorfesFuncions de diverses variables complexesEspais analíticsHolomorphic functionsFunctions of several complex variablesAnalytic spacesinfo:eu-repo/semantics/article1366342020-06-06info:eu-repo/semantics/openAccess