Artículos de revistas
Tempered generalized functions and Hermite expansions
Registro en:
Nonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 74, n. 2, n. 479, n. 493, 2011.
0362-546X
WOS:000283052300013
10.1016/j.na.2010.09.003
Autor
Catuogno, P
Olivera, C
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) 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. 74 2 479 493 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) CNPq [302704/2008-6] FAPESP [2007/54740-4]