Stieltjes functions of finite order and ...
Type de document :
Article dans une revue scientifique: Article original
DOI :
URL permanente :
Titre :
Stieltjes functions of finite order and hyperbolic monotonicity
Auteur(s) :
Bondesson, Lennart [Auteur]
Umeå University = Umeå Universitet
Simon, Thomas [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Umeå University = Umeå Universitet
Simon, Thomas [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Titre de la revue :
Transactions of the American Mathematical Society
Pagination :
4201-4222
Éditeur :
American Mathematical Society
Date de publication :
2018-02-14
ISSN :
0002-9947
Mot(s)-clé(s) en anglais :
Hyperbolic monotonicity
Stieltjes transform
Widder condition.
Stieltjes transform
Widder condition.
Discipline(s) HAL :
Mathématiques [math]
Résumé en anglais : [en]
A class of Stieltjes functions of finite type is introduced. These satisfy Widder’s conditions on the successive derivatives up to some finite order and are not necessarily smooth. We show that such functions have a unique ...
Lire la suite >A class of Stieltjes functions of finite type is introduced. These satisfy Widder’s conditions on the successive derivatives up to some finite order and are not necessarily smooth. We show that such functions have a unique integral representation along some generic kernel which is a truncatedLaurent series approximating the standard Stieltjes kernel. We then obtain a two-to-one correspondence, via the logarithmic derivative, between these functions and a subclass of hyperbolically monotone functions of finite type. This correspondence generalizes a representation of HCM functions in terms of two Stieltjes transforms earlier obtained by the first author.Lire moins >
Lire la suite >A class of Stieltjes functions of finite type is introduced. These satisfy Widder’s conditions on the successive derivatives up to some finite order and are not necessarily smooth. We show that such functions have a unique integral representation along some generic kernel which is a truncatedLaurent series approximating the standard Stieltjes kernel. We then obtain a two-to-one correspondence, via the logarithmic derivative, between these functions and a subclass of hyperbolically monotone functions of finite type. This correspondence generalizes a representation of HCM functions in terms of two Stieltjes transforms earlier obtained by the first author.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
Source :
Date de dépôt :
2025-01-24T14:31:16Z
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