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Multiresolution Analysis and Radon Measures on a Locally Compact Abelian Group
Authors:Felix Galindo  Javier Sanz
Affiliation:(1) Departamento de Analisis Matematico (Facultad de Ciencias), Universidad de Valladolid, 47005 Valladolid, Spain
Abstract:
A multiresolution analysis is defined in a class of locally compact abelian groups G. It is shown that the spaces of integrable functions 
$$mathcal{L}^p (G)$$
and the complex Radon measures M(G) admit a simple characterization in terms of this multiresolution analysis.
Keywords:multiresolution analysis  Radon measures  topological groups
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