Hilbert Spaces of Analytic Functions

Segal–Bargmann space; Bergman spaces; Hardy spaces; Pólya class; Functions of limited type; Nevanlinna factorisation; Functions of exponential type; Krein’s theorem; L. de Branges spaces; Orthogonal sets; Examples; Applications.

References:
Hilbert Spaces of Entire Functions, L. de Branges
Bounded Anlaytic functions, J.B. Garnett