On extension theorems for holomorphic generalized functions

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dc.contributor.authorSoares, Marcelo Reicher [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T13:26:36Z
dc.date.available2014-05-20T13:26:36Z
dc.date.issued2009-01-01
dc.description.abstractWe present two extension theorems for holomorphic generalized functions. The first one is a version of the classic Hartogs extension theorem. In this, we start from a holomorphic generalized function on an open neighbourhood of the bounded open boundary, extending it, holomorphically, to a full open. In the second theorem a generalized version of a classic result is obtained, done independently, in 1943, by Bochner and Severi. For this theorem, we start from a function that is holomorphic generalized and has a holomorphic representative on the bounded domain boundary, we extend it holomorphically the function, for the whole domain.en
dc.description.affiliationUniv Estadual Paulista, FEIS, Dept Matemat, São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, FEIS, Dept Matemat, São Paulo, Brazil
dc.format.extent319-324
dc.identifierhttp://dx.doi.org/10.1080/10652460802568176
dc.identifier.citationIntegral Transforms and Special Functions. Abingdon: Taylor & Francis Ltd, v. 20, n. 3-4, p. 319-324, 2009.
dc.identifier.doi10.1080/10652460802568176
dc.identifier.issn1065-2469
dc.identifier.lattes2421224753755038
dc.identifier.urihttp://hdl.handle.net/11449/8603
dc.identifier.wosWOS:000263926400020
dc.language.isoeng
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofIntegral Transforms and Special Functions
dc.relation.ispartofjcr0.828
dc.relation.ispartofsjr0,819
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectholomorphic generalized functionsen
dc.subjectextension theoremsen
dc.subjectholomorphic on the boundaryen
dc.titleOn extension theorems for holomorphic generalized functionsen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://journalauthors.tandf.co.uk/permissions/reusingOwnWork.asp
dcterms.rightsHolderTaylor & Francis Ltd
unesp.author.lattes2421224753755038
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Ilha Solteirapt

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Artigos - Matemática - FEIS