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.
Astengo, F., DI BLASIO, B. (2010). Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces. ANNALES MATHÉMATIQUES BLAISE PASCAL, 17(2), 327-340 [10.5802/ambp.286].
Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces
DI BLASIO, BIANCA
2010
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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