Geodesic
Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces
Astengo, Francesca1  ; Di Blasio, Bianca2
1 Dipartimento di Matematica Via Dodecaneso 35 16146 Genova Italy
2 Dipartimento di Matematica e Applicazioni Via Cozzi 53 20125 Milano Italy
Annales mathématiques Blaise Pascal, Tome 17 (2010) no. 2, pp. 327-340

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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.

DOI : 10.5802/ambp.286
Classification : 43A80, 22E25
Keywords: Wave equation, Damek–Ricci space

Astengo, Francesca 1 ; Di Blasio, Bianca 2

1 Dipartimento di Matematica Via Dodecaneso 35 16146 Genova Italy
2 Dipartimento di Matematica e Applicazioni Via Cozzi 53 20125 Milano Italy 
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     journal = {Annales math\'ematiques Blaise Pascal},
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Astengo, Francesca; Di Blasio, Bianca. Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces. Annales mathématiques Blaise Pascal, Tome 17 (2010) no. 2, pp. 327-340. doi: 10.5802/ambp.286

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