Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/78841
Type: Artigo de periódico
Title: Tempered generalized functions and Hermite expansions
Author: Catuogno, P
Olivera, C
Abstract: In this work we introduce an algebra of tempered generalized functions. The tempered distributions are embedded in this algebra via their Hermite expansions. The Fourier transform is naturally extended to this algebra in such a way that the usual relations involving multiplication, convolution and differentiation are valid. Furthermore, we give a generalized Ito formula in this context and some applications to stochastic analysis. (C) 2010 Elsevier Ltd. All rights reserved.
Subject: Hermite functions
Generalized function algebras
Fourier transform
Ito formula
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.na.2010.09.003
Date Issue: 2011
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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