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

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Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 1206.1396
Source
arXiv
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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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