Riesz bases of exponentials for convex polytopes with symmetric faces

Bibliographic Details
Main Author: Debernardi, Alberto
Publication Date: 2022
Other Authors: Lev, Nir
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/35265
Summary: We prove that for any convex polytope $\Omega\subset \mathbb{R}^d$ which is centrally symmetric and whose faces of all dimensions are also centrally symmetric, there exists a Riesz basis of exponential functions in the space $L^2(\Omega)$. The result is new in all dimensions $d$ greater than one.
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spelling Riesz bases of exponentials for convex polytopes with symmetric facesRiesz basesSampling and interpolationConvex polytopesWe prove that for any convex polytope $\Omega\subset \mathbb{R}^d$ which is centrally symmetric and whose faces of all dimensions are also centrally symmetric, there exists a Riesz basis of exponential functions in the space $L^2(\Omega)$. The result is new in all dimensions $d$ greater than one.EMS Press2022-11-23T11:20:13Z2022-01-01T00:00:00Z2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35265eng1435-985510.4171/JEMS/1158Debernardi, AlbertoLev, Nirinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:40:31Zoai:ria.ua.pt:10773/35265Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:16:36.854467Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Riesz bases of exponentials for convex polytopes with symmetric faces
title Riesz bases of exponentials for convex polytopes with symmetric faces
spellingShingle Riesz bases of exponentials for convex polytopes with symmetric faces
Debernardi, Alberto
Riesz bases
Sampling and interpolation
Convex polytopes
title_short Riesz bases of exponentials for convex polytopes with symmetric faces
title_full Riesz bases of exponentials for convex polytopes with symmetric faces
title_fullStr Riesz bases of exponentials for convex polytopes with symmetric faces
title_full_unstemmed Riesz bases of exponentials for convex polytopes with symmetric faces
title_sort Riesz bases of exponentials for convex polytopes with symmetric faces
author Debernardi, Alberto
author_facet Debernardi, Alberto
Lev, Nir
author_role author
author2 Lev, Nir
author2_role author
dc.contributor.author.fl_str_mv Debernardi, Alberto
Lev, Nir
dc.subject.por.fl_str_mv Riesz bases
Sampling and interpolation
Convex polytopes
topic Riesz bases
Sampling and interpolation
Convex polytopes
description We prove that for any convex polytope $\Omega\subset \mathbb{R}^d$ which is centrally symmetric and whose faces of all dimensions are also centrally symmetric, there exists a Riesz basis of exponential functions in the space $L^2(\Omega)$. The result is new in all dimensions $d$ greater than one.
publishDate 2022
dc.date.none.fl_str_mv 2022-11-23T11:20:13Z
2022-01-01T00:00:00Z
2022
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/10773/35265
url http://hdl.handle.net/10773/35265
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1435-9855
10.4171/JEMS/1158
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.publisher.none.fl_str_mv EMS Press
publisher.none.fl_str_mv EMS Press
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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