Coherent states quantization of generalized bergman spaces on the unit   ball of cn with a new formula for their associated berezin transforms
  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. 
A. Boussejra and Z. Mouayn
math.FA math-ph math.MP