Solving singular convolution equations using the inverse fast Fourier transform

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dc.contributor.authorKrajnik, Eduardes_ES
dc.contributor.authorMontesinos Santalucia, Vicente
dc.contributor.authorZizler, Peteres_ES
dc.contributor.authorZizler, Vaclaves_ES
dc.contributor.funderMinisterio de Ciencia e Innovaciónes_ES
dc.contributor.funderCzech Academy of Scienceses_ES
dc.contributor.funderUniversitat Politècnica de Valènciaes_ES
dc.date.accessioned2015-09-10T10:34:41Z
dc.date.available2015-09-10T10:34:41Z
dc.date.issued2012-10
dc.description.abstractThe 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 extendedes_ES
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationKrajnik, E.; Montesinos Santalucia, V.; Zizler, P.; Zizler, V. (2012). Solving singular convolution equations using the inverse fast Fourier transform. Applications of Mathematics. 57(5):543-550. https://doi.org/10.1007/s10492-012-0032-9es_ES
dc.description.issue5es_ES
dc.description.sponsorshipThe 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).en_EN
dc.description.upvformatpfin550es_ES
dc.description.upvformatpinicio543es_ES
dc.description.volume57es_ES
dc.identifier.doi10.1007/s10492-012-0032-9
dc.identifier.issn0862-7940
dc.identifier.urihttps://riunet.upv.es/handle/10251/54482
dc.languageIngléses_ES
dc.publisherAkademie věd České republiky, Matematický ústaves_ES
dc.relation.ispartofApplications of Mathematicses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2008-03211/ES/GEOMETRIA Y DIFERENCIACION EN ESPACIOS DE BANACH. ANALISIS COMPLEJO EN DIMENSION FINITA E INFINITA./es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AVCR//IAA100190901/CZ/Topological and geometrical structures in Banach spaces/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/CAS//AVOZ10190503/es_ES
dc.relation.publisherversionhttp://dx.doi.org/10.1007/s10492-012-0032-9es_ES
dc.relation.senia238428es_ES
dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectSingular convolution equationses_ES
dc.subjectFast Fourier Transformes_ES
dc.subjectTempered distributionses_ES
dc.subjectPolynomial transfer functionses_ES
dc.subjectSimple zeroses_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleSolving singular convolution equations using the inverse fast Fourier transformes_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
person.identifier3215
relation.isAuthorOfPublicationeaf7ddcb-ebd2-4dbe-9eca-2c562c11e85d
relation.isAuthorOfPublication.latestForDiscoveryeaf7ddcb-ebd2-4dbe-9eca-2c562c11e85d
upv.uuid5f3ac2c7-fac4-44ce-b4f7-545e8d5a047des_ES

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