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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/8603
Title: 
On extension theorems for holomorphic generalized functions
Author(s): 
Soares, Marcelo Reicher
Institution: 
Universidade Estadual Paulista (UNESP)
ISSN: 
1065-2469
Abstract: 
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.
Issue Date: 
1-Jan-2009
Citation: 
Integral Transforms and Special Functions. Abingdon: Taylor & Francis Ltd, v. 20, n. 3-4, p. 319-324, 2009.
Time Duration: 
319-324
Publisher: 
Taylor & Francis Ltd
Keywords: 
  • holomorphic generalized functions
  • extension theorems
  • holomorphic on the boundary
Source: 
http://dx.doi.org/10.1080/10652460802568176
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/8603
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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