The shifted wave equation on Damek--Ricci spaces and on homogeneous trees
arXiv:1206.1396
Abstract
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.
XXXV Convegno di Analisi Armonica, Istituto Nazionale di Alta Matematica, Roma : Italy (2011)