Duality in Segal-Bargmann Spaces

William E. Gryc, Todd Kemp

For $\alpha >0$, the Bargmann projection $P_{\alpha }$ is the orthogonal projection from $L^2({\gamma }_{\alpha })$ onto the holomorphic subspace $L_{hol}^2({\gamma }_{\alpha })$, where ${\gamma }_{\alpha }$ is the standard Gaussian probabili…