On interpolation and sampling in Hilbert spaces of analytic functions

In this paper we give new proofs of some theorems due to Seip, Seip-Wallsten and Lyubarskii-Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights. The results are also given in a somewhat more general setting.

Detalles Bibliográficos
Autores: Berndtsson, Bo, Ortega Cerdà, Joaquim
Tipo de recurso: artículo
Fecha de publicación:1995
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/782
Acceso en línea:https://hdl.handle.net/2117/782
Access Level:acceso abierto
Palabra clave:Function spaces
Functions of complex variables
Hilbert Spaces
Analytic Functions
Anàlisi funcional
Funcions de variables complexes
Classificació AMS::30 Functions of a complex variable::30E Miscellaneous topics of analysis in the complex domain
Classificació AMS::46 Associative rings and algebras::46E Linear function spaces and their duals
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spelling On interpolation and sampling in Hilbert spaces of analytic functionsBerndtsson, BoOrtega Cerdà, JoaquimFunction spacesFunctions of complex variablesHilbert SpacesAnalytic FunctionsAnàlisi funcionalFuncions de variables complexesClassificació AMS::30 Functions of a complex variable::30E Miscellaneous topics of analysis in the complex domainClassificació AMS::46 Associative rings and algebras::46E Linear function spaces and their dualsIn this paper we give new proofs of some theorems due to Seip, Seip-Wallsten and Lyubarskii-Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights. The results are also given in a somewhat more general setting.19951995-01-0120072007-04-27journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/782reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/7822026-05-27T15:37:01Z
dc.title.none.fl_str_mv On interpolation and sampling in Hilbert spaces of analytic functions
title On interpolation and sampling in Hilbert spaces of analytic functions
spellingShingle On interpolation and sampling in Hilbert spaces of analytic functions
Berndtsson, Bo
Function spaces
Functions of complex variables
Hilbert Spaces
Analytic Functions
Anàlisi funcional
Funcions de variables complexes
Classificació AMS::30 Functions of a complex variable::30E Miscellaneous topics of analysis in the complex domain
Classificació AMS::46 Associative rings and algebras::46E Linear function spaces and their duals
title_short On interpolation and sampling in Hilbert spaces of analytic functions
title_full On interpolation and sampling in Hilbert spaces of analytic functions
title_fullStr On interpolation and sampling in Hilbert spaces of analytic functions
title_full_unstemmed On interpolation and sampling in Hilbert spaces of analytic functions
title_sort On interpolation and sampling in Hilbert spaces of analytic functions
dc.creator.none.fl_str_mv Berndtsson, Bo
Ortega Cerdà, Joaquim
author Berndtsson, Bo
author_facet Berndtsson, Bo
Ortega Cerdà, Joaquim
author_role author
author2 Ortega Cerdà, Joaquim
author2_role author
dc.subject.none.fl_str_mv Function spaces
Functions of complex variables
Hilbert Spaces
Analytic Functions
Anàlisi funcional
Funcions de variables complexes
Classificació AMS::30 Functions of a complex variable::30E Miscellaneous topics of analysis in the complex domain
Classificació AMS::46 Associative rings and algebras::46E Linear function spaces and their duals
topic Function spaces
Functions of complex variables
Hilbert Spaces
Analytic Functions
Anàlisi funcional
Funcions de variables complexes
Classificació AMS::30 Functions of a complex variable::30E Miscellaneous topics of analysis in the complex domain
Classificació AMS::46 Associative rings and algebras::46E Linear function spaces and their duals
description In this paper we give new proofs of some theorems due to Seip, Seip-Wallsten and Lyubarskii-Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights. The results are also given in a somewhat more general setting.
publishDate 1995
dc.date.none.fl_str_mv 1995
1995-01-01
2007
2007-04-27
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/782
url https://hdl.handle.net/2117/782
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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