We prove that Huygens' principle and the principle of equipartition of energy hold for the modified wave equation on odd dimensional Damek-Ricci spaces. We also prove a Paley-Wiener type theorem for the inverse of the Helgason Fourier transform on Damek-Ricci spaces.
Huygens' principle and a Paley-Wiener type Theorem on Damek-Ricci spaces
ASTENGO, FRANCESCA;
2010-01-01
Abstract
We prove that Huygens' principle and the principle of equipartition of energy hold for the modified wave equation on odd dimensional Damek-Ricci spaces. We also prove a Paley-Wiener type theorem for the inverse of the Helgason Fourier transform on Damek-Ricci spaces.
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