The Large-N Limit of the q-Segal-Bargmann Transform

Abstract. 
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.