Multiresolution Analysis and Radon Measures on a Locally Compact Abelian Group

Authors: Galindo F.¹; Sanz J.²

Source: Czechoslovak Mathematical Journal, Volume 51, Number 4, December 2001 , pp. 859-871(13)

Publisher: Springer

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Abstract:

A multiresolution analysis is defined in a class of locally compact abelian groups G. It is shown that the spaces of integrable functions \Cal L^p(G) and the complex Radon measures M(G) admit a simple characterization in terms of this multiresolution analysis.

Keywords: multiresolution analysis; Radon measures; topological groups

Language: English

Document Type: Regular paper

Affiliations: 1: Departamento de Analisis Matematico (Facultad de Ciencias), Universidad de Valladolid, 47005 Valladolid, Spain fgalindo@am.uva.es 2: Departamento de Analisis Matematico (Facultad de Ciencias), Universidad de Valladolid, 47005 Valladolid, Spain jsanzg@am.uva.es

Publication date: 2001-12-01