Coherent state transforms attached to generalized Bargmann spaces on the complex plane

Details Coherent state transforms attached to generalized Bargmann spaces on the complex plane Coherent state transforms attached to generalized Bargmann spaces on the complex plane

2010-03-29

arxiv.org/abs/1003.5421v1

Physics

Mathematical Physics

Submitted, 7 pages

Scientific paper

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].

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