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Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors

dc.contributor.authorJiménez Garrido, Jesús Javier 
dc.contributor.authorMiguel Cantero, Ignacio
dc.contributor.authorSanz, Javier
dc.contributor.authorSchindl, Gerhard
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2024-03-15T16:35:42Z
dc.date.available2024-03-15T16:35:42Z
dc.date.issued2023-06
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.otherPID2019- 105621GB-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/32277
dc.description.abstractWe construct optimal flat functions in Carleman-Roumieu ultraholomorphic classes associated to general strongly nonquasianalytic weight sequences, and defined on sectors of suitably restricted opening. A general procedure is presented in order to obtain linear continuous extension operators, right inverses of the Borel map, for the case of regular weight sequences in the sense of Dyn'kin. Finally, we discuss some examples (including the well-known q-Gevrey case) where such optimal flat functions can be obtained in a more explicit way.es_ES
dc.description.sponsorshipThe first three authors are partially supported by the Spanish Ministry of Science and Innovation under the project PID2019-105621GB-I00. The fourth author is supported by FWF-Project P33417-N.es_ES
dc.format.extent35 p.es_ES
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rightsThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material.es_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceResults in Mathematics, 2023, 78(3), 98es_ES
dc.titleOptimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectorses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1007/s00025-023-01859-wes_ES
dc.rights.accessRightsopenAccesses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00/ES/METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS/
dc.identifier.DOI10.1007/s00025-023-01859-w
dc.type.versionpublishedVersiones_ES


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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material.Excepto si se señala otra cosa, la licencia del ítem se describe como This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material.