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arXiv · 1204.0934

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
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Abstract

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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A. Boussejra, Z. Mouayn. 2012-04-04. Coherent states quantization of generalized bergman spaces on the unit ball of cn with a new formula for their associated berezin transforms. https://arxiv.org/abs/1204.0934

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