Approximation of harmonic functions by universal overconvergent series: Approximation des fonctions harmoniques par des séries universelles surconvergentes - Couverture souple

Tamptse, Innocent

 
9783838366692: Approximation of harmonic functions by universal overconvergent series: Approximation des fonctions harmoniques par des séries universelles surconvergentes
Couverture souple
ISBN 10 : 3838366697 ISBN 13 : 9783838366692
Editeur : LAP LAMBERT Academic Publishing, 2010

Synopsis

We study the approximation of harmonic functions by universal overconvergent series. Most of the results established are analogues of those obtained in the case of approximation of holomorphic functions by such series. In the case of holomorphic functions, the approximation is made for functions which are continuous on a compact set and holomorphic inside this compact set, while our approximation is for functions that are harmonic in a neighborhood of the compact set. This difference is due to the fact that in the case of holomorphic functions, we have at our disposal Mergelyan's approximation theorem, which allows such an approximation, while in the case of harmonic functions, we employ only the classic approximation theorem of Walsh (harmonic analogue of the theorem of Runge).

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Présentation de l'éditeur

We study the approximation of harmonic functions by universal overconvergent series. Most of the results established are analogues of those obtained in the case of approximation of holomorphic functions by such series. In the case of holomorphic functions, the approximation is made for functions which are continuous on a compact set and holomorphic inside this compact set, while our approximation is for functions that are harmonic in a neighborhood of the compact set. This difference is due to the fact that in the case of holomorphic functions, we have at our disposal Mergelyan's approximation theorem, which allows such an approximation, while in the case of harmonic functions, we employ only the classic approximation theorem of Walsh (harmonic analogue of the theorem of Runge).

Biographie de l'auteur

Born at Nkongsamba, Cameroon, I begin my university studies at The University of Yaoundé 1, where I obtain a BA, a MA and a DEA in mathematics and then I did my doctorate studies at University of Montréal in Québec, which decerne me a Ph.D of mathematics in 2008. My field of studies concern universal approximation of harmonic functions.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
3838366697
ISBN 13 
9783838366692
Reliure
Broché
Nombre de pages
56
Coordonnées du fabricant
non disponible
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