Stepanov and Weyl Classes of c-Almost Periodic Type Functions
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10045/138006
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor | Curvas Alpha-Densas. Análisis y Geometría Local | es_ES |
dc.contributor.author | Ounis, Hadjer | - |
dc.contributor.author | Sepulcre, Juan Matias | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2023-10-19T10:16:15Z | - |
dc.date.available | 2023-10-19T10:16:15Z | - |
dc.date.issued | 2023-10-18 | - |
dc.identifier.citation | Complex Analysis and Operator Theory. 2023, 17:124. https://doi.org/10.1007/s11785-023-01433-w | es_ES |
dc.identifier.issn | 1661-8254 (Print) | - |
dc.identifier.issn | 1661-8262 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/138006 | - |
dc.description.abstract | As an extension of some classes of generalized almost periodic functions, in this paper we develop the notion of c-almost periodicity in the sense of Stepanov and Weyl approaches. In fact, we extend some basic results of this theory which were already demonstrated for the standard cases. In particular, we prove that every c-almost periodic function in the sense of Stepanov approach (in the sense of equi-Weyl or Weyl approaches, respectively) is also cm-almost periodic in the sense of Stepanov approach (in the sense of equi-Weyl or Weyl approaches, respectively) for each non-zero integer number m. This study is performed for both representative cases of functions defined on the real axis and with values in a Banach space and the complex functions defined on vertical strips in the complex plane. | es_ES |
dc.description.sponsorship | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Hadjer Ounis research was supported by 076 Bis/PG/Espagne/2020-2021 (Ministère de l’Enseignement Supérieur et de la Recherche Scientifique). Juan Matías Sepulcre research was partially supported by the Ministry of Science, Innovation and Universities of Spain and the European Regional Development Fund (ERDF) of the European Commission under Project Number PID2022-136399NB-C21. | es_ES |
dc.language | eng | es_ES |
dc.publisher | Springer Nature | es_ES |
dc.rights | © The Author(s) 2023. Open Access 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. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | es_ES |
dc.subject | Almost periodic functions | es_ES |
dc.subject | c-almost periodic functions | es_ES |
dc.subject | Stepanov almost periodicity | es_ES |
dc.subject | Weyl almost periodicity | es_ES |
dc.subject | equi-Weyl almost periodicity | es_ES |
dc.subject | Almost anti-periodicity | es_ES |
dc.subject | Functions of a complex variable | es_ES |
dc.subject | Banach spaces | es_ES |
dc.title | Stepanov and Weyl Classes of c-Almost Periodic Type Functions | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.1007/s11785-023-01433-w | - |
dc.relation.publisherversion | https://doi.org/10.1007/s11785-023-01433-w | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-136399NB-C21 | es_ES |
Appears in Collections: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Ounis_Sepulcre_2023_ComplexAnalOperTheory.pdf | 525,99 kB | Adobe PDF | Open Preview | |
Items in RUA are protected by copyright, with all rights reserved, unless otherwise indicated.