Topics of Measure Theory on Infinite Dimensional Spaces

Detalhes bibliográficos
Autor(a) principal: Velhinho, José
Data de Publicação: 2017
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/7238
Resumo: This short review is devoted to measures on infinite dimensional spaces. We start by discussing product measures and projective techniques. Special attention is paid to measures on linear spaces, and in particular to Gaussian measures. Transformation properties of measures are considered, as well as fundamental results concerning the support of the measure.
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spelling Topics of Measure Theory on Infinite Dimensional SpacesMeasureInfinite dimensional spaceNuclear spaceProjective limitThis short review is devoted to measures on infinite dimensional spaces. We start by discussing product measures and projective techniques. Special attention is paid to measures on linear spaces, and in particular to Gaussian measures. Transformation properties of measures are considered, as well as fundamental results concerning the support of the measure.uBibliorumVelhinho, José2019-10-11T14:00:11Z2017-08-292017-08-29T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/7238engVelhinho, J. Topics of Measure Theory on Infinite Dimensional Spaces. Mathematics 2017, 5, 44.10.3390/math5030044info: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:RCAAP2023-12-15T09:46:27Zoai:ubibliorum.ubi.pt:10400.6/7238Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:47:48.153903Repositório 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 Topics of Measure Theory on Infinite Dimensional Spaces
title Topics of Measure Theory on Infinite Dimensional Spaces
spellingShingle Topics of Measure Theory on Infinite Dimensional Spaces
Velhinho, José
Measure
Infinite dimensional space
Nuclear space
Projective limit
title_short Topics of Measure Theory on Infinite Dimensional Spaces
title_full Topics of Measure Theory on Infinite Dimensional Spaces
title_fullStr Topics of Measure Theory on Infinite Dimensional Spaces
title_full_unstemmed Topics of Measure Theory on Infinite Dimensional Spaces
title_sort Topics of Measure Theory on Infinite Dimensional Spaces
author Velhinho, José
author_facet Velhinho, José
author_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Velhinho, José
dc.subject.por.fl_str_mv Measure
Infinite dimensional space
Nuclear space
Projective limit
topic Measure
Infinite dimensional space
Nuclear space
Projective limit
description This short review is devoted to measures on infinite dimensional spaces. We start by discussing product measures and projective techniques. Special attention is paid to measures on linear spaces, and in particular to Gaussian measures. Transformation properties of measures are considered, as well as fundamental results concerning the support of the measure.
publishDate 2017
dc.date.none.fl_str_mv 2017-08-29
2017-08-29T00:00:00Z
2019-10-11T14:00:11Z
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/10400.6/7238
url http://hdl.handle.net/10400.6/7238
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Velhinho, J. Topics of Measure Theory on Infinite Dimensional Spaces. Mathematics 2017, 5, 44.
10.3390/math5030044
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
repository.mail.fl_str_mv
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