pith. sign in

arxiv: 1206.1396 · v3 · pith:KZOY6CMPnew · submitted 2012-06-07 · 🧮 math.AP · math.GR

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

classification 🧮 math.AP math.GR
keywords damek--ricciequationhomogeneousshiftedspacestreeswaveabel
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.