On the Hilbert transform in the framework of generalized functions
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
29/10/2013
29/10/2013
02/08/2013
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| Resumo |
In this paper, a definition of the Hilbert transform operating on Colombeau's temperated generalized functions is given. Similar results to some theorems that hold in the classical theory, or in certain subspaces of Schwartz distributions, have been obtained in this framework. |
| Identificador |
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, ABINGDON, v. 23, n. 8, supl. 4, Part 1-2, pp. 567-579, FEB, 2012 1065-2469 http://www.producao.usp.br/handle/BDPI/36604 10.1080/10652469.2011.613381 |
| Idioma(s) |
eng |
| Publicador |
TAYLOR & FRANCIS LTD ABINGDON |
| Relação |
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS |
| Direitos |
restrictedAccess Copyright TAYLOR & FRANCIS LTD |
| Palavras-Chave | #COLOMBEAU ALGEBRA #GENERALIZED FUNCTION #HILBERT TRANSFORM #MATHEMATICS, APPLIED #MATHEMATICS |
| Tipo |
article original article publishedVersion |
