STUDY OF ALMOST EVERYWHERE CONVERGENCE OF SERIES BY MEANS OF MARTINGALE METHODS - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2016

STUDY OF ALMOST EVERYWHERE CONVERGENCE OF SERIES BY MEANS OF MARTINGALE METHODS

Résumé

Martingale methods are used to study the almost everywhere convergence of general function series. Applications are given to ergodic series, which improves recent results of Fan [9], and to dilated series, including Dav-enport series, which completes results of Gaposhkin [12] (see also [13]). Application is also given to the almost everywhere convergence with respect to Riesz products of lacunary series.

Domaines

Probabilités [math.PR]
Fichier principal
Vignette du fichier
cuny-fan-submitted.pdf (429.38 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Christophe Cuny  : Connectez-vous pour contacter le contributeur

https://hal.science/hal-01261284

Soumis le : mardi 26 janvier 2016-09:16:19

Dernière modification le : vendredi 17 mai 2024-12:22:08

Archivage à long terme le : mercredi 27 avril 2016-13:17:59

Télécharger pour visualiser

Dates et versions

hal-01261284 , version 1 (26-01-2016)

Identifiants

  • HAL Id : hal-01261284 , version 1

Citer

Christophe Cuny, Fan Ai-Hua. STUDY OF ALMOST EVERYWHERE CONVERGENCE OF SERIES BY MEANS OF MARTINGALE METHODS. 2016. ⟨hal-01261284⟩

Exporter

BibTeX XML-TEI Dublin Core DC Terms EndNote DataCite

Collections

CNRS INSMI CENTRALESUPELEC MICS UNIV-PARIS-SACLAY GS-ENGINEERING GS-COMPUTER-SCIENCE U-PICARDIE LAMFA
59 Consultations
612 Téléchargements

Partager

More