Solving singular convolution equations using the inverse fast Fourier transform

The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric po...

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Detalles Bibliográficos
Autores: Krajnik, Eduard, Zizler, Peter, Zizler, Vaclav, Montesinos Santalucia, Vicente
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/54482
Acceso en línea:https://riunet.upv.es/handle/10251/54482
Access Level:acceso abierto
Palabra clave:Singular convolution equations
Fast Fourier Transform
Tempered distributions
Polynomial transfer functions
Simple zeros
MATEMATICA APLICADA
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spelling Solving singular convolution equations using the inverse fast Fourier transformKrajnik, EduardZizler, PeterZizler, VaclavMontesinos Santalucia, VicenteSingular convolution equationsFast Fourier TransformTempered distributionsPolynomial transfer functionsSimple zerosMATEMATICA APLICADAThe inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric polynomial with simple zeros on the unit circle, then this method can be extendedThe second author was supported in part by Proyecto MTM2008-03211, Ministerio de Ciencia e Innovacion, by a grant BEST 2010-134 of the Generalitat Valenciana, and by a grant from the Universidad Politecnica de Valencia, PAID 2009, Spain. The fourth author was supported by a grant AVOZ 101 905 03 and IAA 100190901 (Czech Republic).Akademie věd České republiky, Matematický ústavMinisterio de Ciencia e InnovaciónCzech Academy of SciencesUniversitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20122012-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/54482reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2008-03211 GEOMETRIA Y DIFERENCIACION EN ESPACIOS DE BANACH. ANALISIS COMPLEJO EN DIMENSION FINITA E INFINITA.Academy of Sciences of the Czech Republic https://doi.org/10.13039/501100004240 IAA100190901 Topological and geometrical structures in Banach spacesChinese Academy of Sciences https://doi.org/10.13039/501100002367 AVOZ10190503open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/544822026-06-13T07:49:27Z
dc.title.none.fl_str_mv Solving singular convolution equations using the inverse fast Fourier transform
title Solving singular convolution equations using the inverse fast Fourier transform
spellingShingle Solving singular convolution equations using the inverse fast Fourier transform
Krajnik, Eduard
Singular convolution equations
Fast Fourier Transform
Tempered distributions
Polynomial transfer functions
Simple zeros
MATEMATICA APLICADA
title_short Solving singular convolution equations using the inverse fast Fourier transform
title_full Solving singular convolution equations using the inverse fast Fourier transform
title_fullStr Solving singular convolution equations using the inverse fast Fourier transform
title_full_unstemmed Solving singular convolution equations using the inverse fast Fourier transform
title_sort Solving singular convolution equations using the inverse fast Fourier transform
dc.creator.none.fl_str_mv Krajnik, Eduard
Zizler, Peter
Zizler, Vaclav
Montesinos Santalucia, Vicente
author Krajnik, Eduard
author_facet Krajnik, Eduard
Zizler, Peter
Zizler, Vaclav
Montesinos Santalucia, Vicente
author_role author
author2 Zizler, Peter
Zizler, Vaclav
Montesinos Santalucia, Vicente
author2_role author
author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación
Czech Academy of Sciences
Universitat Politècnica de València
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Singular convolution equations
Fast Fourier Transform
Tempered distributions
Polynomial transfer functions
Simple zeros
MATEMATICA APLICADA
topic Singular convolution equations
Fast Fourier Transform
Tempered distributions
Polynomial transfer functions
Simple zeros
MATEMATICA APLICADA
description The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric polynomial with simple zeros on the unit circle, then this method can be extended
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-10-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/54482
url https://riunet.upv.es/handle/10251/54482
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2008-03211 GEOMETRIA Y DIFERENCIACION EN ESPACIOS DE BANACH. ANALISIS COMPLEJO EN DIMENSION FINITA E INFINITA.
Academy of Sciences of the Czech Republic https://doi.org/10.13039/501100004240 IAA100190901 Topological and geometrical structures in Banach spaces
Chinese Academy of Sciences https://doi.org/10.13039/501100002367 AVOZ10190503
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Akademie věd České republiky, Matematický ústav
publisher.none.fl_str_mv Akademie věd České republiky, Matematický ústav
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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