Importance of Zak transforms for harmonic analysis
type: Item
instance of: scholarly article
zbMATH Open document ID: 1243.43002
author: Edward N. Wilson
publication date: 2012-06-04T00:00:00Z
full work available at URL: v52n2
Mathematics Subject Classification ID: 43A70
Mathematics Subject Classification ID: 43A25
Mathematics Subject Classification ID: 42C20
zbMATH DE Number: 6042805
zbMATH Keywords: locally compact Abelian groups
zbMATH Keywords: Zak transforms
zbMATH Keywords: Fourier transforms
MaRDI profile type: Publication
title: Importance of Zak transforms for harmonic analysis
published in: Revista de la Unión Matemática Argentina
review text: The author proves the Plancherel theorem for locally compact Abelian (LCA) groups via Zak transforms, based on the fact that Fourier integrals are averages of Zak transforms for any choice of a lattice. He also derives and applies generalized Zak transforms intertwining certain unitary representations of LCA groups with modulation representations.
reviewed by: Chrysoula G. Kokologiannaki
description: scientific article; zbMATH DE number 6042805