The converse of Bohr's equivalence theorem with Fourier exponents linearly independent over the rational numbers
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Campo DC | Valor | Idioma |
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dc.contributor | Curvas Alpha-Densas. Análisis y Geometría Local | es_ES |
dc.contributor.author | Righetti, Mattia | - |
dc.contributor.author | Sepulcre, Juan Matias | - |
dc.contributor.author | Vidal, Tomás | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2022-04-11T08:37:22Z | - |
dc.date.available | 2022-04-11T08:37:22Z | - |
dc.date.issued | 2022-04-09 | - |
dc.identifier.citation | Journal of Mathematical Analysis and Applications. 2022, 513(2): 126240. https://doi.org/10.1016/j.jmaa.2022.126240 | es_ES |
dc.identifier.issn | 0022-247X (Print) | - |
dc.identifier.issn | 1096-0813 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/122928 | - |
dc.description.abstract | Given two arbitrary almost periodic functions with Fourier exponents which are linearly independent over the rational numbers, we prove that the existence of a common open vertical strip V, where both functions assume the same set of values on every open vertical substrip included in V, is a necessary and sufficient condition for both functions to have the same region of almost periodicity and to be ⁎-equivalent or Bohr-equivalent. This result represents the converse of Bohr's equivalence theorem for this particular case. | es_ES |
dc.description.sponsorship | The first author has been partially supported by a CRM-ISM postdoctoral fellowship and by a fellowship “Ing. Giorgio Schirillo” from INdAM. The second author's research has been partially supported by MICIU of Spain under project number PGC2018-097960-B-C22. | es_ES |
dc.language | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | © 2022 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.subject | Bohr equivalence theorem | es_ES |
dc.subject | Dirichlet series | es_ES |
dc.subject | Converse theorem | es_ES |
dc.subject | Almost periodic functions | es_ES |
dc.subject.other | Análisis Matemático | es_ES |
dc.title | The converse of Bohr's equivalence theorem with Fourier exponents linearly independent over the rational numbers | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.1016/j.jmaa.2022.126240 | - |
dc.relation.publisherversion | https://doi.org/10.1016/j.jmaa.2022.126240 | 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 2017-2020/PGC2018-097960-B-C22 | es_ES |
Aparece en las colecciones: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
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