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Chapitre D'ouvrage Année : 2013

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

Résumé

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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Dates et versions

hal-00705135 , version 1 (06-06-2012)
hal-00705135 , version 2 (09-06-2012)
hal-00705135 , version 3 (23-07-2012)

Identifiants

Citer

Jean-Philippe Anker, Pierre Martinot, Emmanuel Pedon, Alberto G. Setti. The shifted wave equation on Damek--Ricci spaces and on homogeneous trees. M.A. Picardello. Trends in Harmonic Analysis (dedicated to A. Figà-Talamanca on the occasion of his retirement), 3, Springer-Verlag, pp.1-25, 2013, INdAM Ser., ⟨10.1007/978-88-470-2853-1_1⟩. ⟨hal-00705135v3⟩
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