Departamento de Analisis Matematico (Facultad de Ciencias), Universidad de Valladolid, 47005 Valladolid, Spain, e-mail: fgalindo@am.uva.es, jsanzg@am.uva.es
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
Classification (MSC 2000): 22B99, 28A33, 43A15
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