Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces

Detalhes bibliográficos
Autor(a) principal: Kondratiev, Yuri G.
Data de Publicação: 2008
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/10400.2/1688
Resumo: Harmonic analysis on configuration spaces is used in order to extend explicit expressions for the images of creation, annihilation, and second quantization operators in L2-spaces with respect to Poisson point processes to a set of functions larger than the space obtained by directly using chaos expansion. This permits,in particular, to derive an explicit expression for the generator of the second quantization of a sub-Markovian contraction semigroup on a set of functions which forms a core of the generator.
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spelling Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spacesPoisson measuresConfiguration spacesHarmonic analysis on configuration spaces is used in order to extend explicit expressions for the images of creation, annihilation, and second quantization operators in L2-spaces with respect to Poisson point processes to a set of functions larger than the space obtained by directly using chaos expansion. This permits,in particular, to derive an explicit expression for the generator of the second quantization of a sub-Markovian contraction semigroup on a set of functions which forms a core of the generator.Repositório AbertoKondratiev, Yuri G.Kuna, TobiasOliveira, Maria João2010-12-07T14:08:59Z20082008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/1688engKondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João - Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces. "Condensed Matter Physics" [Em linha]. ISSN 1607-324X Vol. 11, nº 2 (54) (2008), p. 237-2461607-324Xinfo: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:RCAAP2023-11-16T15:14:26Zoai:repositorioaberto.uab.pt:10400.2/1688Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:24.333130Repositório 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 Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
title Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
spellingShingle Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
Kondratiev, Yuri G.
Poisson measures
Configuration spaces
title_short Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
title_full Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
title_fullStr Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
title_full_unstemmed Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
title_sort Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
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 Poisson measures
Configuration spaces
topic Poisson measures
Configuration spaces
description Harmonic analysis on configuration spaces is used in order to extend explicit expressions for the images of creation, annihilation, and second quantization operators in L2-spaces with respect to Poisson point processes to a set of functions larger than the space obtained by directly using chaos expansion. This permits,in particular, to derive an explicit expression for the generator of the second quantization of a sub-Markovian contraction semigroup on a set of functions which forms a core of the generator.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01T00:00:00Z
2010-12-07T14:08:59Z
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/10400.2/1688
url http://hdl.handle.net/10400.2/1688
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João - Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces. "Condensed Matter Physics" [Em linha]. ISSN 1607-324X Vol. 11, nº 2 (54) (2008), p. 237-246
1607-324X
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
instacron:RCAAP
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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