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 
@article{CMJ_2001__51_4_a13,
     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},
     publisher = {mathdoc},
     volume = {51},
     number = {4},
     year = {2001},
     mrnumber = {1864047},
     zbl = {0997.43003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_4_a13/}
}
TY  - JOUR
AU  - Galindo, Félix
AU  - Sanz, Javier
TI  - Multiresolution analysis and Radon measures on a locally compact Abelian group
JO  - Czechoslovak Mathematical Journal
PY  - 2001
SP  - 859
EP  - 871
VL  - 51
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2001__51_4_a13/
LA  - en
ID  - CMJ_2001__51_4_a13
ER  - 
%0 Journal Article
%A Galindo, Félix
%A Sanz, Javier
%T Multiresolution analysis and Radon measures on a locally compact Abelian group
%J Czechoslovak Mathematical Journal
%D 2001
%P 859-871
%V 51
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2001__51_4_a13/
%G en
%F CMJ_2001__51_4_a13
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/