Bergman orthogonal polynomials and the ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Bergman orthogonal polynomials and the Grunsky matrix
Auteur(s) :
Beckermann, Bernhard [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Stylianopoulos, Nikos [Auteur]
![refId](/themes/Mirage2//images/idref.png)
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Stylianopoulos, Nikos [Auteur]
Titre de la revue :
Constructive Approximation
Pagination :
211-235
Éditeur :
Springer Verlag
Date de publication :
2018
ISSN :
0176-4276
Mot(s)-clé(s) en anglais :
Bergman orthogonal polynomials
Faber polynomials
Conformal mapping
Grunsky matrix
Bergman shift
Quasiconformal mapping
Faber polynomials
Conformal mapping
Grunsky matrix
Bergman shift
Quasiconformal mapping
Discipline(s) HAL :
Mathématiques [math]/Analyse classique [math.CA]
Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Résumé en anglais : [en]
By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by Kühnau in 1985, we improve some recent results on strong asymptotics of Bergman polynomials outside the domain ...
Lire la suite >By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by Kühnau in 1985, we improve some recent results on strong asymptotics of Bergman polynomials outside the domain G of orthogonality, and on entries of the Bergman shift operator. In our proofs we suggest a new matrix approach involving the Grunsky matrix, and use well-established results in the literature relating properties of the Grunsky matrix to the regularity of the boundary of G, and the associated conformal maps. For quasiconformal boundaries, this approach allows for new insights for Bergman polynomials.Lire moins >
Lire la suite >By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by Kühnau in 1985, we improve some recent results on strong asymptotics of Bergman polynomials outside the domain G of orthogonality, and on entries of the Bergman shift operator. In our proofs we suggest a new matrix approach involving the Grunsky matrix, and use well-established results in the literature relating properties of the Grunsky matrix to the regularity of the boundary of G, and the associated conformal maps. For quasiconformal boundaries, this approach allows for new insights for Bergman polynomials.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
Fichiers
- document
- Accès libre
- Accéder au document
- GrunskyBergman.pdf
- Accès libre
- Accéder au document
- 1606.00553
- Accès libre
- Accéder au document