dc.creator | Lefèvre, Pascal | es |
dc.creator | Rodríguez Piazza, Luis | es |
dc.date.accessioned | 2018-02-01T08:06:53Z | |
dc.date.available | 2018-02-01T08:06:53Z | |
dc.date.issued | 2009-08 | |
dc.identifier.citation | Lefèvre, P. y Rodríguez Piazza, L. (2009). Invariant means and thin sets in harmonic analysis with applications to prime numbers. Journal of the London Mathematical Society, 80 (1), 72-84. | |
dc.identifier.issn | 0024-6107 | es |
dc.identifier.issn | 1469-7750 | es |
dc.identifier.uri | https://hdl.handle.net/11441/69852 | |
dc.description.abstract | We first prove a localization principle characterising Lust-Piquard sets. We
obtain that the union of two Lust-Piquard sets is a Lust-Piquard set, provided that one of these two sets is closed for the Bohr topology. We also show that the closure. We first prove a localization principle characterizing Lust-Piquard sets. We obtain that the unionof two Lust-Piquard sets is a Lust-Piquard set, provided that one of these two sets is closed forthe Bohr topology. We also show that the closure of the set of prime numbers is a Lust-Piquardset, generalizing results of Lust-Piquard and Meyer, and even that the set of integers whoseexpansion uses fewer than r factors is a Lust-Piquard set. On the other hand, we use randommethods to prove that there are some sets t hat are UC,Λ(q) for every q>2andp-Sidon for everyp>1, but which are not Lust-Piquard sets. This is a consequence of the fact that a uniformly distributed set cannot be a Lust-Piquard set.for every p > 1, but which are not Lust-Piquard sets. This is a consequence of the fact that a uniformly distributed set cannot be a Lust-Piquard set. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Wiley | es |
dc.relation.ispartof | Journal of the London Mathematical Society, 80 (1), 72-84. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Bohr topology | es |
dc.subject | Invariant means | es |
dc.subject | LP sets | es |
dc.subject | Prime numbers | es |
dc.subject | Random selectors | es |
dc.title | Invariant means and thin sets in harmonic analysis with applications to prime numbers | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | BFM2003-01297 | es |
dc.relation.projectID | MTM2006-05622 | es |
dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1112/jlms/jdp016/epdf | es |
dc.identifier.doi | 10.1112/jlms/jdp016 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Análisis Matemático | es |
idus.format.extent | 14 p. | es |
dc.journaltitle | Journal of the London Mathematical Society | es |
dc.publication.volumen | 80 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 72 | es |
dc.publication.endPage | 84 | es |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |