Real Taylor shifts and simultaneous approximation

Klaja, H.; Mouze, Augustin

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1002/mana.201700180

Permalink :

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

Title :

Real Taylor shifts and simultaneous approximation

Author(s) :

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

Centrale Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Mathematical News / Mathematische Nachrichten

Pages :

1769-1780

Publisher :

Wiley-VCH Verlag

Publication date :

2018-03-08

ISSN :

0025-584X

HAL domain(s) :

Mathématiques [math]

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Frontières de la théorie des opérateurs

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Submission date :

2025-01-24T14:49:31Z

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