1204.0934 (A. Boussejra et al.)

Coherent states quantization of generalized bergman spaces on the unit
ball of cn with a new formula for their associated berezin transforms    [PDF]

A. Boussejra, Z. Mouayn

While dealing with a class of generalized Bergman spaces on the unit ball, we construct for each of these spaces a set of coherent states to apply a coherent states quantization method. This provides us with another way to recover the Berezin transforms attached to these spaces. Finally, a new formula representing these transforms a functions of the Laplace-Beltrami operator is established in terms ofWilson polynomials by using the Fourier-Helgason transform.

View original: http://arxiv.org/abs/1204.0934