The shifted wave equation on Damek--Ricci spaces and on homogeneous trees

Jean-Philippe Anker; Pierre Martinot; Emmanuel Pedon; Alberto G. Setti

hal-00705135, version 2

The shifted wave equation on Damek--Ricci spaces and on homogeneous trees

Jean-Philippe Anker () ¹, Pierre Martinot () ², Emmanuel Pedon (, ) ³, Alberto G. Setti () ⁴

XXXV Convegno di Analisi Armonica (2011) 1-24

Résumé : We solve explicitly the shifted wave equation on Damek--Ricci spaces, using Asgeirsson's theorem and the inverse dual Abel transform. As an application, we investigate Huygens' principle. A similar analysis is carried out in the discrete setting of homogeneous trees.

1 : Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
Université d'Orléans – CNRS : UMR7349
2 : Institut Élie Cartan Nancy (IECN)
CNRS : UMR7502 – Université de Lorraine
3 : Laboratoire de Mathématiques (LM-Reims)
CNRS : UMR6056 – Université de Reims - Champagne Ardenne
4 : Dipartimento di Scienza e Alta Tecnologia
Università degli Studi dell'Insubria

hal-00705135, version 2
http://hal.archives-ouvertes.fr/hal-00705135
oai:hal.archives-ouvertes.fr:hal-00705135
Contributeur : Jean-Philippe Anker <>
Soumis le : Samedi 9 Juin 2012, 07:06:04
Dernière modification le : Lundi 23 Juillet 2012, 08:48:59

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