Segal-Bargmann transform on Hermitian symmetric spaces and Orthogonal Polynomials

Mark Davidson, Gestur Olafsson, Genkai Zhang

Let $\mathcal{D}=G/K$ be a complex bounded symmetric domain of tube type in a complex Jordan algebra $V$ and let ${\mathcal{D}}_{\mathbb{R}}=H/L\subset \mathcal{D}$ be its real form…