| dc.contributor.author | Jiménez Garrido, Jesús Javier | |
| dc.contributor.author | Nenning, David Nicolas | |
| dc.contributor.author | Schindl, Gerhard | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2024-03-15T16:49:21Z | |
| dc.date.available | 2024-03-15T16:49:21Z | |
| dc.date.issued | 2023-12 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.other | PID2019-105621GB-I00 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/32278 | |
| dc.description.abstract | We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipović, N. Teofanov and F. Tomić are special cases of the general framework of spaces of ultradifferentiable functions defined in terms of weight matrices in the sense of A. Rainer and the third author. We study classes "beyond geometric growth factors" defined in terms of a weight sequence and an exponent sequence, prove that these new types admit a weight matrix representation and transfer known results from the matrix-type to such a non-standard ultradifferentiable setting. | es_ES |
| dc.description.sponsorship | J. Jiménez-Garrido is supported by Ministerio de Ciencia e Innovación project PID2019-105621GB-I00, D.N. Nenning and G. Schindl are supported by FWF-Project P33417-N. | es_ES |
| dc.format.extent | 33 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Academic Press Inc. | es_ES |
| dc.rights | © 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.source | Journal of Mathematical Analysis and Applications, 2023, 526(21), 127260 | es_ES |
| dc.subject.other | Classes of ultradifferentiable functions | es_ES |
| dc.subject.other | Weight sequences and weight matrices | es_ES |
| dc.title | On generalized definitions of ultradifferentiable classes | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1016/j.jmaa.2023.127260 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.relation.projectID | info: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.DOI | 10.1016/j.jmaa.2023.127260 | |
| dc.type.version | publishedVersion | es_ES |
Excepto si se señala otra cosa, la licencia del ítem se describe como © 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
