The shifted wave equation on Damek--Ricci spaces and on homogeneous trees
- Authors
- Publication Date
- Jan 01, 2013
- Source
- HAL-UPMC
- Keywords
- Language
- English
- License
- Unknown
- External links
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.
