dc.creator | Li, Daniel | es |
dc.creator | Queffélec, Hervé | es |
dc.creator | Rodríguez Piazza, Luis | es |
dc.date.accessioned | 2016-09-29T11:38:21Z | |
dc.date.available | 2016-09-29T11:38:21Z | |
dc.date.issued | 2002-12 | |
dc.identifier.citation | Li, D., Queffélec, H. y Rodríguez Piazza, L. (2002). Some new thin sets of integers in harmonic analysis. Journal d’Analyse Mathématique, 86 (1), 105-138. | |
dc.identifier.issn | 0021-7670 | es |
dc.identifier.issn | 1565-8538 | es |
dc.identifier.uri | http://hdl.handle.net/11441/46378 | |
dc.description.abstract | We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small since they are very close, in various senses, to Sidon sets: the continuous functions with spectrum in Λ have uniformly convergent series, and their Fourier coefficients are in ℓp for all p > 1; moreover, all the Lebesgue spaces LΛq are equal forq < +∞. On the other hand, they are large in the sense that they are dense in the Bohr group and that the space of the bounded functions with spectrum in Λ is nonseparable. So these sets are very different from the thin sets of integers previously known. | es |
dc.description.abstract | On construit aléatoirement des ensembles Λ d'entiers positifs jouissant simultanément de propriétés qui les font apparaître à la fois comme petits et
comme grands. Ils sont petits car très proches à plus d'un égard des ensembles de Sidon: les fontions continues à spectre dans Λ ont une série de Fourier uniformément convergente, et ont des coe fficients de Fourier dans ℓp pour tout p > 1; de plus, tous les espaces de Lebesgue LqΛ coïncident pour q < +∞. Mais ils sont par ail leurs grands au sens où ils sont denses dans le compactifi é de Bohr et où l'espace des fonctions bornées à spectre dans Λ n'est pas séparable. Ces ensembles sont donc très di fférents des ensembles minces d'entiers connus auparavant. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Journal d’Analyse Mathématique, 86 (1), 105-138. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Ergodic set | es |
dc.subject | Lacunary set | es |
dc.subject | Λ(q)-set | es |
dc.subject | Quasi-independent set | es |
dc.subject | Random set | es |
dc.subject | p-Rider set | es |
dc.subject | Rosenthal set | es |
dc.subject | p-Sidon set | es |
dc.subject | Sset of uniform convergence | es |
dc.subject | Uniformly distributed set | es |
dc.title | Some new thin sets of integers in harmonic analysis | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.publisherversion | http://download.springer.com/static/pdf/489/art%253A10.1007%252FBF02786646.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2FBF02786646&token2=exp=1475149798~acl=%2Fstatic%2Fpdf%2F489%2Fart%25253A10.1007%25252FBF02786646.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252FBF02786646*~hmac=4d32134dd4717aec1843fe131ee2fc395ba33c8a59ed830399bf151f5980841e | es |
dc.identifier.doi | 10.1007/BF02786646 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Analisis Matemático | es |
idus.format.extent | 34 p. | es |
dc.journaltitle | Journal d’Analyse Mathématique | es |
dc.publication.volumen | 86 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 105 | es |
dc.publication.endPage | 138 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/46378 | |