Geodesic
Multiresolution analysis and Radon measures on a locally compact Abelian group
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 859-871.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 22B99, 28A33, 43A15
Keywords: multiresolution analysis; Radon measures; topological groups 
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     author = {Galindo, F\'elix and Sanz, Javier},
     title = {Multiresolution analysis and {Radon} measures on a locally compact {Abelian} group},
     journal = {Czechoslovak Mathematical Journal},
     pages = {859--871},
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     year = {2001},
     mrnumber = {1864047},
     zbl = {0997.43003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_4_a13/}
}
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Galindo, Félix; Sanz, Javier. Multiresolution analysis and Radon measures on a locally compact Abelian group. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 4, pp. 859-871. http://geodesic.mathdoc.fr/item/CMJ_2001__51_4_a13/