Real Taylor shifts and simultaneous approximation

Klaja, H.; Mouze, Augustin

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.1002/mana.201700180

URL permanente :

http://hdl.handle.net/20.500.12210/121940

Titre :

Real Taylor shifts and simultaneous approximation

Auteur(s) :

Klaja, H. [Auteur]
Mouze, Augustin [Auteur]

Centrale Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Mathematical News / Mathematische Nachrichten

Pagination :

1769-1780

Éditeur :

Wiley-VCH Verlag

Date de publication :

2018-03-08

ISSN :

0025-584X

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

Abstract We are interested in the Taylor shift operator acting on the space of infinitely differentiable functions. In particular if we choose a countable family of centers of Taylor expansion, we prove that the associated ...
Lire la suite >Abstract We are interested in the Taylor shift operator acting on the space of infinitely differentiable functions. In particular if we choose a countable family of centers of Taylor expansion, we prove that the associated family of real Taylor shifts fulfills the approximation of any given family of infinitely differentiable functions with a common subsequence of iterates applied on a common vector. We obtain similar conclusions in the context of universal series improving recent statements. Finally we introduce the notion of doubly universal Taylor shift. All these results give new and natural examples of disjoint universality.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Frontières de la théorie des opérateurs

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T14:49:31Z

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