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.
Mots-clés : Wave equation, Damek–Ricci space
@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}, publisher = {Annales math\'ematiques Blaise Pascal}, volume = {17}, number = {2}, year = {2010}, doi = {10.5802/ambp.286}, zbl = {1207.43006}, mrnumber = {2778917}, language = {en}, url = {http://www.numdam.org/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://www.numdam.org/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://www.numdam.org/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. http://www.numdam.org/articles/10.5802/ambp.286/
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