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

Authors
  • Anker, Jean-Philippe
  • Martinot, Pierre
  • Pedon, Emmanuel
  • Setti, Alberto G.
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.

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