A new construction of random Colombeau distributions

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dc.contributor.authorÇapar, U
dc.contributor.authorAktuglu, H
dc.date.accessioned2026-02-06T18:43:17Z
dc.date.issued2001
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this paper a generalized random process is modeled through the randomization of a bilinear form between the space L of test functions and the Colombeau generalized functions. This results in a theory akin to Gelfand-Vilankin's random Schwartz distributions. An extension theorem in Bochner-Badrikian style is proved under some continuity assumptions. An important application is a natural representation of nonlinear functionals of white noise. (C) 2001 Elsevier Science B.V. All rights reserved.
dc.identifier.doi10.1016/S0167-7152(01)00101-8
dc.identifier.endpage299
dc.identifier.issn0167-7152
dc.identifier.issue3
dc.identifier.scopus2-s2.0-0041908485
dc.identifier.scopusqualityQ3
dc.identifier.startpage291
dc.identifier.urihttps://doi.org/10.1016/S0167-7152(01)00101-8
dc.identifier.urihttps://hdl.handle.net/11129/13545
dc.identifier.volume54
dc.identifier.wosWOS:000170848400009
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Bv
dc.relation.ispartofStatistics & Probability Letters
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectrandom Colombeau distributions
dc.subjectdelta-duality
dc.subjectextension of probability measures in generalized duals
dc.subjectnonlinear functions of the white noise
dc.titleA new construction of random Colombeau distributions
dc.typeArticle

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