The shifted wave equation on Damek--Ricci spaces and on homogeneous trees
- Authors
- Type
- Preprint
- Publication Date
- Jul 23, 2012
- Submission Date
- Jun 07, 2012
- Identifiers
- arXiv ID: 1206.1396
- Source
- arXiv
- License
- Yellow
- 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.
