On extension theorems for holomorphic generalized functions
Carregando...
Arquivos
Fonte externa
Fonte externa
Data
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Taylor & Francis Ltd
Tipo
Trabalho apresentado em evento
Direito de acesso
Acesso aberto
Arquivos
Fonte externa
Fonte externa
Resumo
We 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.
Descrição
Palavras-chave
holomorphic generalized functions, extension theorems, holomorphic on the boundary
Idioma
Inglês
Citação
Integral Transforms and Special Functions. Abingdon: Taylor & Francis Ltd, v. 20, n. 3-4, p. 319-324, 2009.
