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

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

2012-04-04

arxiv.org/abs/1204.0934v1

Mathematics

Functional Analysis

12 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Coherent states quantization of generalized bergman spaces on the unit ball of cn with a new formula for their associated berezin transforms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coherent states quantization of generalized bergman spaces on the unit ball of cn with a new formula for their associated berezin transforms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coherent states quantization of generalized bergman spaces on the unit ball of cn with a new formula for their associated berezin transforms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-32135