Universal approximation theorem for Dirichlet series

Demanze, O.; Mouze, Augustin

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1155/IJMMS/2006/37014

Title :

Universal approximation theorem for Dirichlet series

Author(s) :

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

Centrale Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

International Journal of Mathematics and Mathematical Sciences

Pages :

1-11

Publisher :

Hindawi Publishing Corporation

Publication date :

2006

ISSN :

0161-1712

HAL domain(s) :

Mathématiques [math]

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

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

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