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 space
Astengo, Francesca 1 ; Di Blasio, Bianca 2
@article{AMBP_2010__17_2_327_0,
author = {Astengo, Francesca and Di Blasio, Bianca},
title = {Huygens{\textquoteright} principle and a {Paley{\textendash}Wiener} type theorem on {Damek{\textendash}Ricci} spaces},
journal = {Annales math\'ematiques Blaise Pascal},
pages = {327--340},
year = {2010},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {17},
number = {2},
doi = {10.5802/ambp.286},
zbl = {1207.43006},
mrnumber = {2778917},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/ambp.286/}
}
TY - JOUR AU - Astengo, Francesca AU - Di Blasio, Bianca TI - Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces JO - Annales mathématiques Blaise Pascal PY - 2010 SP - 327 EP - 340 VL - 17 IS - 2 PB - Annales mathématiques Blaise Pascal UR - http://geodesic.mathdoc.fr/articles/10.5802/ambp.286/ DO - 10.5802/ambp.286 LA - en ID - AMBP_2010__17_2_327_0 ER -
%0 Journal Article %A Astengo, Francesca %A Di Blasio, Bianca %T Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces %J Annales mathématiques Blaise Pascal %D 2010 %P 327-340 %V 17 %N 2 %I Annales mathématiques Blaise Pascal %U http://geodesic.mathdoc.fr/articles/10.5802/ambp.286/ %R 10.5802/ambp.286 %G en %F AMBP_2010__17_2_327_0
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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