Copyright © 2010 Abdelkader Intissar. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Consider the space , where is the
Gaussian measure, and its generalized Bargmann subspaces which are the null
kernels of the operator ;
In this work, we present an other construction of following the Hermite functions
which allows us to define a family of generalized Bargmann transform which maps isometrically into . The generalized coherent states associated to are constructed and some properties of them are given.