dc.creator | Bernal González, Luis | es |
dc.creator | Calderón Moreno, María del Carmen | es |
dc.creator | Luh, Wolfgang | es |
dc.date.accessioned | 2016-06-02T06:35:15Z | |
dc.date.available | 2016-06-02T06:35:15Z | |
dc.date.issued | 2006 | |
dc.identifier.citation | Bernal González, L., Calderón Moreno, M.d.C. y Luh, W. (2006). Universal matrix transforms of holomorphic functions. Houston Journal of Mathematics, 32 (1), 315-324. | |
dc.identifier.issn | 1370-1444 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41789 | |
dc.description.abstract | The phenomenon of overconvergence is related with the convergence
of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence. During the seventies Chui and Parnes and the third author provided a holomorphic function in the unit disk which is universal with respect to overconvergence. The generic nature of this kind of universality has been recently shown by Nestoridis. In this paper, we connect the overconvergence with the summability theory. We show that there are “many” holomorphic functions in the unit disk such that their sequences of A-transforms have the overconvergence property, A being an infinite matrix. This strengthens Nestoridis’ result. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | University of Houston | es |
dc.relation.ispartof | Houston Journal of Mathematics, 32 (1), 315-324. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Holomorphic function | es |
dc.subject | unit disk | es |
dc.subject | overconvergence | es |
dc.subject | infinite matrix | es |
dc.subject | A-transforms | es |
dc.title | Universal matrix transforms of holomorphic functions | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | BFM2003-03893-C02-01 | es |
idus.format.extent | 10 p. | es |
dc.journaltitle | Houston Journal of Mathematics | es |
dc.publication.volumen | 32 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 315 | es |
dc.publication.endPage | 324 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41789 | |
dc.contributor.funder | Junta de Andalucía | |
dc.contributor.funder | Dirección General de Enseñanza Superior. España | |