Thursday, April 5, 2012

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

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.
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