Coherent state transforms attached to generalized Bargmann spaces on the complex plane
Mathematical Physics
2010-03-30 v1 math.MP
Abstract
We construct a family of coherent states transforms attached to generalized Bargmann spaces [C.R. Acad.Sci.Paris, t.325,1997] in the complex plane. This constitutes another way of obtaining the kernel of an isometric operator linking the space of square integrable functions on the real line with the true-poly-Fock spaces [Oper.Theory. Adv.Appl.,v.117,2000].
Cite
@article{arxiv.1003.5421,
title = {Coherent state transforms attached to generalized Bargmann spaces on the complex plane},
author = {Zouhair Mouayn},
journal= {arXiv preprint arXiv:1003.5421},
year = {2010}
}
Comments
Submitted, 7 pages