Universal approximation theorem for Dirichlet series

Demanze, O.; Mouze, Augustin

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.1155/IJMMS/2006/37014

URL permanente :

http://hdl.handle.net/20.500.12210/121933

Titre :

Universal approximation theorem for Dirichlet series

Auteur(s) :

Demanze, O. [Auteur]
Mouze, Augustin [Auteur]

Centrale Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

International Journal of Mathematics and Mathematical Sciences

Pagination :

1-11

Éditeur :

Hindawi Publishing Corporation

Date de publication :

2006

ISSN :

0161-1712

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for holomorphic function to the setting of Dirichlet series, which are absolutely convergent in the right half of the complex ...
Lire la suite >The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for holomorphic function to the setting of Dirichlet series, which are absolutely convergent in the right half of the complex plane. The derivation operator used in the analytic case is substituted by a weighted backward shift operator in the Dirichlet case. We show the similarities and extensions in comparing both results. Several density results are proved that finally lead to the main theorem on simultaneous approximation.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T14:48:58Z

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