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.
| Original language | English |
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| Journal | SIGMA |
| Volume | 7 |
| Issue number | 078 |
| Publication status | Published - 2011 |