Bounded eigenfunctions in the real Hyperbolic ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Bounded eigenfunctions in the real Hyperbolic space
Auteur(s) :
Grellier, Sandrine [Auteur]
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Otal, Jean-Pierre [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Otal, Jean-Pierre [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Titre de la revue :
international mathematical research notices
Pagination :
3867-3897
Date de publication :
2005
Mot(s)-clé(s) en anglais :
Eigenfunctions
Hyperbolic space
Laplace-Beltrami operator
Poisson-Helgason Transform
Hyperbolic space
Laplace-Beltrami operator
Poisson-Helgason Transform
Discipline(s) HAL :
Mathématiques [math]/Analyse classique [math.CA]
Résumé en anglais : [en]
We characterize the distributions on the boundary of the hyperbolic space whose Poisson-Helgason transforms are bounded λ-eigenfunctions of the Laplace operator. Our main result states that these distributions are exactly ...
Lire la suite >We characterize the distributions on the boundary of the hyperbolic space whose Poisson-Helgason transforms are bounded λ-eigenfunctions of the Laplace operator. Our main result states that these distributions are exactly the derivatives of Holder functions on the unit sphere, whose smoothness order can be precisely expressed in terms of the eigenvalue λ; this extends the results obtained in the case n= 2 by the second author.Lire moins >
Lire la suite >We characterize the distributions on the boundary of the hyperbolic space whose Poisson-Helgason transforms are bounded λ-eigenfunctions of the Laplace operator. Our main result states that these distributions are exactly the derivatives of Holder functions on the unit sphere, whose smoothness order can be precisely expressed in terms of the eigenvalue λ; this extends the results obtained in the case n= 2 by the second author.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
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