Fourier analysis on multiple representations of locally compact Abelian groups
type: Item
instance of: scholarly article
title: Fourier analysis on multiple representations of locally compact Abelian groups
zbMATH Open document ID: 0558.22004
DOI: 10.1016/0034-4877(84)90025-9
author: S. N. Peck
author: R. L. Hudson
author: Mark D. Wilkinson
published in: Reports on Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: Replacing the Haar measure on the dual group by a faithful normal semi-finite trace on a von Neumann algebra, the authors obtain analogues of the Fourier transformation, the Plancherel identity and the Fourier inversion formula.
reviewed by: Noël Leblanc
Mathematics Subject Classification ID: 22D25
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 3889808
zbMATH Keywords: dual group
zbMATH Keywords: trace
zbMATH Keywords: von Neumann algebra
MaRDI profile type: Publication
full work available at URL: 0034-4877(84)90025-9
OpenAlex ID: W2067163268
cites work: Convergence of Bogoliubov's method of renormalization in momentum space
cites work: High-Energy Behavior in Quantum Field Theory
cites work: Q5613839
cites work: Q5820721
description: scientific article; zbMATH DE number 3889808