Analytic aspects of Poissonian white noise analysis

Detalhes bibliográficos
Autor(a) principal: Kondratiev, Yuri G.
Data de Publicação: 2002
Outros Autores: Kuna, Tobias, Oliveira, Maria João
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/1712
Resumo: General structures of Poissonian white noise analysis are presented.Simultaneously, the theory is developed on Poisson and Lebesgue- Poisson space. Both spaces have an own S-transform, well known in the Gaussian case. They give an extra connection between these two spaces via the Bargmann-Segal space. Test and generalized functions,different types of convolutions, and representations of creation and annihilation operators in the aforementioned spaces are considered.
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spelling Analytic aspects of Poissonian white noise analysisConfiguration spacesPoisson measuresGeneral structures of Poissonian white noise analysis are presented.Simultaneously, the theory is developed on Poisson and Lebesgue- Poisson space. Both spaces have an own S-transform, well known in the Gaussian case. They give an extra connection between these two spaces via the Bargmann-Segal space. Test and generalized functions,different types of convolutions, and representations of creation and annihilation operators in the aforementioned spaces are considered.Repositório AbertoKondratiev, Yuri G.Kuna, TobiasOliveira, Maria João2011-01-14T17:01:22Z20022002-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/1712engKondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João - Analytic aspects of Poissonian white noise analysis. "Methods Functional Analysis Topology" [Em linha]. ISSN 1029-3531. Vol. 8, nº 4 (2002), p. 15-481029-3531info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:14:29Zoai:repositorioaberto.uab.pt:10400.2/1712Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:24.883496Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Analytic aspects of Poissonian white noise analysis
title Analytic aspects of Poissonian white noise analysis
spellingShingle Analytic aspects of Poissonian white noise analysis
Kondratiev, Yuri G.
Configuration spaces
Poisson measures
title_short Analytic aspects of Poissonian white noise analysis
title_full Analytic aspects of Poissonian white noise analysis
title_fullStr Analytic aspects of Poissonian white noise analysis
title_full_unstemmed Analytic aspects of Poissonian white noise analysis
title_sort Analytic aspects of Poissonian white noise analysis
author Kondratiev, Yuri G.
author_facet Kondratiev, Yuri G.
Kuna, Tobias
Oliveira, Maria João
author_role author
author2 Kuna, Tobias
Oliveira, Maria João
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Kondratiev, Yuri G.
Kuna, Tobias
Oliveira, Maria João
dc.subject.por.fl_str_mv Configuration spaces
Poisson measures
topic Configuration spaces
Poisson measures
description General structures of Poissonian white noise analysis are presented.Simultaneously, the theory is developed on Poisson and Lebesgue- Poisson space. Both spaces have an own S-transform, well known in the Gaussian case. They give an extra connection between these two spaces via the Bargmann-Segal space. Test and generalized functions,different types of convolutions, and representations of creation and annihilation operators in the aforementioned spaces are considered.
publishDate 2002
dc.date.none.fl_str_mv 2002
2002-01-01T00:00:00Z
2011-01-14T17:01:22Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.2/1712
url http://hdl.handle.net/10400.2/1712
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João - Analytic aspects of Poissonian white noise analysis. "Methods Functional Analysis Topology" [Em linha]. ISSN 1029-3531. Vol. 8, nº 4 (2002), p. 15-48
1029-3531
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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