Abstract
In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part. The latter appear to be second order q-difference operator, whose eigen functions are related to the Al-Salam-Chihara polynomials. We prove a Plancherel type theorem for it.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | SIGMA |
| Vol/bind | 7 |
| Udgave nummer | 078 |
| Status | Udgivet - 2011 |