Hardy spaces for irreducible representations of locally compact groups
type: Item
instance of: scholarly article
title: Hardy spaces for irreducible representations of locally compact groups
zbMATH Open document ID: 1195.46045
published in: Topology
publication date: 2010-05-10T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46G20
Mathematics Subject Classification ID: 46E50
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 5706258
zbMATH Keywords: Hardy spaces
zbMATH Keywords: infinite-dimensional holomorphy
author: O. V. Lopushansky
reviewed by: Daniel Pellegrino
MaRDI profile type: Publication
full work available at URL: j.top.2009.11.015
OpenAlex ID: W2068337787
DOI: 10.1016/J.TOP.2009.11.015
description: scientific article; zbMATH DE number 5706258