Abstract or Additional Information
Sniady constructed a random matrix model which has a limiting
noncommutative distribution of the $q$-Gaussian distribution. In this talk,
I will introduce the Segal-Bargmann transform in the classical case and on the
Sniady random matrix model. Then we will construct the $q$-Segal-Bargmann
transform by means of operator algebra. Finally I will describe what it is meant by the
Segal-Bargmann transform on the Sniady random matrix model converges to the
$q$-Segal-Bargmann transform in $L^2$ sense.