Tempered generalized functions and Hermite expansions

dc.creatorCatuogno, P
dc.creatorOlivera, C
dc.date2011
dc.date42005
dc.date2014-08-01T18:25:59Z
dc.date2015-11-26T17:05:07Z
dc.date2014-08-01T18:25:59Z
dc.date2015-11-26T17:05:07Z
dc.date.accessioned2018-03-28T23:53:27Z
dc.date.available2018-03-28T23:53:27Z
dc.identifierNonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 74, n. 2, n. 479, n. 493, 2011.
dc.identifier0362-546X
dc.identifierWOS:000283052300013
dc.identifier10.1016/j.na.2010.09.003
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/78841
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/78841
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1279502
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionIn 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.
dc.description74
dc.description2
dc.description479
dc.description493
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCNPq [302704/2008-6]
dc.descriptionFAPESP [2007/54740-4]
dc.languageen
dc.publisherPergamon-elsevier Science Ltd
dc.publisherOxford
dc.publisherInglaterra
dc.relationNonlinear Analysis-theory Methods & Applications
dc.relationNonlinear Anal.-Theory Methods Appl.
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectHermite functions
dc.subjectGeneralized function algebras
dc.subjectFourier transform
dc.subjectIto formula
dc.subjectTopological Structures
dc.subjectColombeau Algebras
dc.subjectDistributions
dc.subjectFormula
dc.titleTempered generalized functions and Hermite expansions
dc.typeArtículos de revistas


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