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dc.contributor.author | Krajnik, Eduard | es_ES |
dc.contributor.author | Montesinos Santalucia, Vicente | es_ES |
dc.contributor.author | Zizler, Peter | es_ES |
dc.contributor.author | Zizler, Vaclav | es_ES |
dc.date.accessioned | 2015-09-10T10:34:41Z | |
dc.date.available | 2015-09-10T10:34:41Z | |
dc.date.issued | 2012-10 | |
dc.identifier.issn | 0862-7940 | |
dc.identifier.uri | http://hdl.handle.net/10251/54482 | |
dc.description.abstract | 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 | es_ES |
dc.description.sponsorship | The 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.language | Inglés | es_ES |
dc.publisher | Akademie věd České republiky, Matematický ústav | es_ES |
dc.relation.ispartof | Applications of Mathematics | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Singular convolution equations | es_ES |
dc.subject | Fast Fourier Transform | es_ES |
dc.subject | Tempered distributions | es_ES |
dc.subject | Polynomial transfer functions | es_ES |
dc.subject | Simple zeros | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Solving singular convolution equations using the inverse fast Fourier transform | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s10492-012-0032-9 | |
dc.relation.projectID | info: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.projectID | info:eu-repo/grantAgreement/AVCR//IAA100190901/CZ/Topological and geometrical structures in Banach spaces/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/CAS//AVOZ10190503/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Krajnik, 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/s10492-012-0032-9 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1007/s10492-012-0032-9 | es_ES |
dc.description.upvformatpinicio | 543 | es_ES |
dc.description.upvformatpfin | 550 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 57 | es_ES |
dc.description.issue | 5 | es_ES |
dc.relation.senia | 238428 | es_ES |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.contributor.funder | Czech Academy of Sciences | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |