Bounded eigenfunctions in the real Hyperbolic ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Bounded eigenfunctions in the real Hyperbolic space
Author(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]
Journal title :
international mathematical research notices
Pages :
3867-3897
Publication date :
2005
English keyword(s) :
Eigenfunctions
Hyperbolic space
Laplace-Beltrami operator
Poisson-Helgason Transform
Hyperbolic space
Laplace-Beltrami operator
Poisson-Helgason Transform
HAL domain(s) :
Mathématiques [math]/Analyse classique [math.CA]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
Collections :
Source :
Files
- document
- Open access
- Access the document
- 15113.pdf
- Open access
- Access the document