We solve explicitly the shifted wave equation on Damek--Ricci spaces, using \'Asgeirsson's theorem and the inverse dual Abel transform. As an application, we investigate Huygens' principle. A similar analysis is carried out in the discrete setting of homogeneous trees.
The Shifted Wave Equation on Damek–Ricci Spaces and on Homogeneous Trees
SETTI, ALBERTO GIULIO
2013-01-01
Abstract
We solve explicitly the shifted wave equation on Damek--Ricci spaces, using \'Asgeirsson's theorem and the inverse dual Abel transform. As an application, we investigate Huygens' principle. A similar analysis is carried out in the discrete setting of homogeneous trees.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
INDAM3_PIC_Chapter1_Author.pdf
non disponibili
Tipologia:
Documento in Pre-print
Licenza:
DRM non definito
Dimensione
682.31 kB
Formato
Adobe PDF
|
682.31 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
