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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 p ( G ) and the complex Radon measures M ( G ) admit a simple characterization in terms of this multiresolution analysis.

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