Interpolation and sampling in Hilbert spaces of holomorphic functions

In this paper we give new proofs of some theorems due to Seip, Seip-Wallstén 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
Estado:Versión publicada
Fecha de publicación:1995
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/164719
Acceso en línea:https://hdl.handle.net/2445/164719
Access Level:acceso abierto
Palabra clave:Funcions de variables complexes
Anàlisi funcional
Espais de Hilbert
Funcions analítiques
Functions of complex variables
Functional analysis
Hilbert space
Analytic functions
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spelling Interpolation and sampling in Hilbert spaces of holomorphic functionsBerndtsson, BoOrtega Cerdà, JoaquimFuncions de variables complexesAnàlisi funcionalEspais de HilbertFuncions analítiquesFunctions of complex variablesFunctional analysisHilbert spaceAnalytic functionsIn this paper we give new proofs of some theorems due to Seip, Seip-Wallstén 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.Walter de Gruyter1995info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/164719Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1515/crll.1995.464.109Journal für die Reine und Angewandte Mathematik, 1995, vol. 464, p. 109-128https://doi.org/10.1515/crll.1995.464.109(c) Walter de Gruyter, 1995info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1647192026-05-27T06:46:51Z
dc.title.none.fl_str_mv Interpolation and sampling in Hilbert spaces of holomorphic functions
title Interpolation and sampling in Hilbert spaces of holomorphic functions
spellingShingle Interpolation and sampling in Hilbert spaces of holomorphic functions
Berndtsson, Bo
Funcions de variables complexes
Anàlisi funcional
Espais de Hilbert
Funcions analítiques
Functions of complex variables
Functional analysis
Hilbert space
Analytic functions
title_short Interpolation and sampling in Hilbert spaces of holomorphic functions
title_full Interpolation and sampling in Hilbert spaces of holomorphic functions
title_fullStr Interpolation and sampling in Hilbert spaces of holomorphic functions
title_full_unstemmed Interpolation and sampling in Hilbert spaces of holomorphic functions
title_sort Interpolation and sampling in Hilbert spaces of holomorphic 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 Funcions de variables complexes
Anàlisi funcional
Espais de Hilbert
Funcions analítiques
Functions of complex variables
Functional analysis
Hilbert space
Analytic functions
topic Funcions de variables complexes
Anàlisi funcional
Espais de Hilbert
Funcions analítiques
Functions of complex variables
Functional analysis
Hilbert space
Analytic functions
description In this paper we give new proofs of some theorems due to Seip, Seip-Wallstén 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
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/164719
url https://hdl.handle.net/2445/164719
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1515/crll.1995.464.109
Journal für die Reine und Angewandte Mathematik, 1995, vol. 464, p. 109-128
https://doi.org/10.1515/crll.1995.464.109
dc.rights.none.fl_str_mv (c) Walter de Gruyter, 1995
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Walter de Gruyter, 1995
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Walter de Gruyter
publisher.none.fl_str_mv Walter de Gruyter
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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