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.
Keywords:
Wave equation, Damek-Ricci spaces
MSC:
43
|