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Multiresolution analysis and Radon measures on a locally compact Abelian group

Félix Galindo; Javier Sanz — 2001

Czechoslovak Mathematical Journal

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

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