Hardy spaces for irreducible representations of locally compact groups
The paper investigates the Hardy space of complex analytic functions on the open Hilbertian ball. This Hardy space is associated with a left-invariant Haar measure on a given locally compact topological group, acting on the corresponding complex Hilbert space. The space of Taylor coefficients for this class of analytic functions is described by the associated symmetric Fock space.
scientific article; zbMATH DE number 5706258