Real Paley-Wiener theorems in spaces of ultradifferentiable functions
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Real Paley-Wiener theorems in spaces of ultradifferentiable functions
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| dc.contributor.author | Boiti, Chiara
|
es_ES |
| dc.contributor.author | Jornet Casanova, David
|
es_ES |
| dc.contributor.author | Oliaro, Alessandro
|
es_ES |
| dc.date.accessioned | 2021-07-23T03:31:22Z | |
| dc.date.available | 2021-07-23T03:31:22Z | |
| dc.date.issued | 2020-03-01 | es_ES |
| dc.identifier.issn | 0022-1236 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10251/169904 | |
| dc.description.abstract | [EN] We develop real Paley-Wiener theorems for classes S-omega of ultradifferentiable functions and related L-p-spaces in the spirit of Bang and Andersen for the Schwartz class. We introduce results of this type for the so-called Gabor transform and give a full characterization in terms of Fourier and Wigner transforms for several variables of a Paley-Wiener theorem in this general setting, which is new in the literature. We also analyze this type of results when the support of the function is not compact using polynomials. Some examples are given. | es_ES |
| dc.description.sponsorship | The authors are grateful for the careful reading and the suggestions of the referee, that improved the paper. The authors were partially supported by the INdAM/GNAMPA Project 2017 Equazioni a Derivate Parziali, Analisi di Gabor ed Analisi Microlocale, by the Projects FAR 2014 and FAR 2017 (University of Ferrara), by the Project FFABR 2017 (MIUR). The research of the second author was partially supported by the project MTM2016-76647-P. | es_ES |
| dc.language | Inglés | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.relation.ispartof | Journal of Functional Analysis | es_ES |
| dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
| dc.subject | Real Paley-Wiener theorems | es_ES |
| dc.subject | Weighted Schwartz classes | es_ES |
| dc.subject | Short-time Fourier transform | es_ES |
| dc.subject | Wigner transform | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | Real Paley-Wiener theorems in spaces of ultradifferentiable functions | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.1016/j.jfa.2019.108348 | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/UNIFE//FAR2017/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/MIUR//FFABR 2017/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/UNIFE//FAR2014/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
| dc.description.bibliographicCitation | Boiti, C.; Jornet Casanova, D.; Oliaro, A. (2020). Real Paley-Wiener theorems in spaces of ultradifferentiable functions. Journal of Functional Analysis. 278(4):1-45. https://doi.org/10.1016/j.jfa.2019.108348 | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | https://doi.org/10.1016/j.jfa.2019.108348 | es_ES |
| dc.description.upvformatpinicio | 1 | es_ES |
| dc.description.upvformatpfin | 45 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 278 | es_ES |
| dc.description.issue | 4 | es_ES |
| dc.relation.pasarela | S\428960 | es_ES |
| dc.contributor.funder | Università degli Studi di Ferrara | es_ES |
| dc.contributor.funder | Istituto Nazionale di Alta Matematica "F. Severi", Italia | es_ES |
| dc.contributor.funder | Ministero dell'Istruzione dell'Università e della Ricerca, Italia | es_ES |
| dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
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