Marcinkiewicz-Zygmund inequalities for polynomials in Fock space

We study the relationship between Marcinkiewicz-Zygmund families and uniform interpolating families for polynomials in a weighted $L^2$-space and sampling and interpolation theorems for entire functions in the Fock space. As a consequence, we obtain a description of signal subspaces spanned by Hermi...

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Authors: Gröchenig, Karlheinz, Ortega Cerdà, Joaquim
Format: article
Status:Published version
Publication Date:2022
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/189547
Online Access:https://hdl.handle.net/2445/189547
Access Level:Open access
Keyword:Funcions de variables complexes
Interpolació (Matemàtica)
Teoria de l'aproximació
Anàlisi harmònica
Functions of complex variables
Interpolation
Approximation theory
Harmonic analysis
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spelling Marcinkiewicz-Zygmund inequalities for polynomials in Fock spaceGröchenig, KarlheinzOrtega Cerdà, JoaquimFuncions de variables complexesInterpolació (Matemàtica)Teoria de l'aproximacióAnàlisi harmònicaFunctions of complex variablesInterpolationApproximation theoryHarmonic analysisWe study the relationship between Marcinkiewicz-Zygmund families and uniform interpolating families for polynomials in a weighted $L^2$-space and sampling and interpolation theorems for entire functions in the Fock space. As a consequence, we obtain a description of signal subspaces spanned by Hermite functions by means of Gabor frames.Springer Verlag2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/acceptedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2445/189547Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1007/s00209-022-03087-4Mathematische Zeitschrift, 2022https://doi.org/10.1007/s00209-022-03087-4cc by (c) Karlheinz Gröchenig et al., 2022http://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1895472026-05-27T06:46:51Z
dc.title.none.fl_str_mv Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
title Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
spellingShingle Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
Gröchenig, Karlheinz
Funcions de variables complexes
Interpolació (Matemàtica)
Teoria de l'aproximació
Anàlisi harmònica
Functions of complex variables
Interpolation
Approximation theory
Harmonic analysis
title_short Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
title_full Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
title_fullStr Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
title_full_unstemmed Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
title_sort Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
dc.creator.none.fl_str_mv Gröchenig, Karlheinz
Ortega Cerdà, Joaquim
author Gröchenig, Karlheinz
author_facet Gröchenig, Karlheinz
Ortega Cerdà, Joaquim
author_role author
author2 Ortega Cerdà, Joaquim
author2_role author
dc.subject.none.fl_str_mv Funcions de variables complexes
Interpolació (Matemàtica)
Teoria de l'aproximació
Anàlisi harmònica
Functions of complex variables
Interpolation
Approximation theory
Harmonic analysis
topic Funcions de variables complexes
Interpolació (Matemàtica)
Teoria de l'aproximació
Anàlisi harmònica
Functions of complex variables
Interpolation
Approximation theory
Harmonic analysis
description We study the relationship between Marcinkiewicz-Zygmund families and uniform interpolating families for polynomials in a weighted $L^2$-space and sampling and interpolation theorems for entire functions in the Fock space. As a consequence, we obtain a description of signal subspaces spanned by Hermite functions by means of Gabor frames.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/acceptedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/189547
url https://hdl.handle.net/2445/189547
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/10.1007/s00209-022-03087-4
Mathematische Zeitschrift, 2022
https://doi.org/10.1007/s00209-022-03087-4
dc.rights.none.fl_str_mv cc by (c) Karlheinz Gröchenig et al., 2022
http://creativecommons.org/licenses/by/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc by (c) Karlheinz Gröchenig et al., 2022
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
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 15.300719

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