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Fourier transform and convolutions on L(p) of a vector measure on a compact Hausdorff abelian group

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Fourier transform and convolutions on L(p) of a vector measure on a compact Hausdorff abelian group

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dc.contributor.author Calabuig Rodriguez, Jose Manuel es_ES
dc.contributor.author Galaz-Fontes, F. es_ES
dc.contributor.author Navarrete, E. M. es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2015-05-29T10:08:28Z
dc.date.available 2015-05-29T10:08:28Z
dc.date.issued 2013-04
dc.identifier.issn 1069-5869
dc.identifier.uri http://hdl.handle.net/10251/50961
dc.description The final publication is available at Springer via http://dx.doi.org/10.1007/s00041-012-9252-3" es_ES
dc.description.abstract Let ν be a countably additive vector measure defined on the Borel subsets of a compact Hausdorff abelian group G. In this paper we define and study a vector valued Fourier transform and a vector valued convolution for functions which are (weakly) integrable with respect to ν. A form of the Riemann Lebesgue Lemma and a Uniqueness Theorem are established in this context. In order to study the vector valued convolution we discuss the invariance under reflection in G of these spaces of integrable functions. Finally we present a Young’s type inequality in this setting and several relevant examples, namely related with the vector measure associated to different important classical operators coming from Harmonic Analysis. es_ES
dc.description.sponsorship J.M. Calabuig was supported by Ministerio de Economia y Competitividad and FEDER (project MTM2008-04594) and MEC "Jose Castillejo 2008". E. A. Sanchez Perez was supported by Ministerio de Economia y Competitividad and FEDER (project MTM2012-36740-c02-02). J.M. Calabuig and E. A. Sanchez Perez were also supported by "Ayuda para Estancias de PDI de la UPV en centros de investigacion de prestigio" (PAID-00-11). en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation MEC "Jose Castillejo" es_ES
dc.relation.ispartof Journal of Fourier Analysis and Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Countably additive vector measure es_ES
dc.subject Space of p-integrable functions es_ES
dc.subject Fourier transform es_ES
dc.subject Convolution es_ES
dc.subject Pettis integrability es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Fourier transform and convolutions on L(p) of a vector measure on a compact Hausdorff abelian group es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00041-012-9252-3
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2008-04594/ES/ANALISIS DE FOURIER CLASICO, MULTILINEAL Y VECTORIAL/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-00-11/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2012-36740-C02-02/ES/Ordered structures and topology: Insertion of functions, fuzzy metrics and uniformities, and pointfree topology/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Calabuig Rodriguez, JM.; Galaz-Fontes, F.; Navarrete, EM.; Sánchez Pérez, EA. (2013). Fourier transform and convolutions on L(p) of a vector measure on a compact Hausdorff abelian group. Journal of Fourier Analysis and Applications. 19(2):312-332. https://doi.org/10.1007/s00041-012-9252-3 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00041-012-9252-3 es_ES
dc.description.upvformatpinicio 312 es_ES
dc.description.upvformatpfin 332 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 19 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 256598
dc.identifier.eissn 1531-5851
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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