학술논문

Multiresolution analysis and Radon measures on a locally compact Abelian group
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TEXT
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Subject
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English
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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 $\mathcal L^p(G)$ and the complex Radon measures $M(G)$ admit a simple characterization in terms of this multiresolution analysis.