Multiresolution analysis and Radon measures on a locally compact Abelian group

Félix Galindo; Javier Sanz

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 4, page 859-871
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Galindo, Félix, and Sanz, Javier. "Multiresolution analysis and Radon measures on a locally compact Abelian group." Czechoslovak Mathematical Journal 51.4 (2001): 859-871. <http://eudml.org/doc/30676>.

@article{Galindo2001,
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.},
author = {Galindo, Félix, Sanz, Javier},
journal = {Czechoslovak Mathematical Journal},
keywords = {multiresolution analysis; Radon measures; topological groups; multiresolution analysis; Radon measures; topological groups; locally compact abelian groups},
language = {eng},
number = {4},
pages = {859-871},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multiresolution analysis and Radon measures on a locally compact Abelian group},
url = {http://eudml.org/doc/30676},
volume = {51},
year = {2001},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 4
SP - 859
EP - 871
AB - 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.
LA - eng
KW - multiresolution analysis; Radon measures; topological groups; multiresolution analysis; Radon measures; topological groups; locally compact abelian groups
UR - http://eudml.org/doc/30676
ER -

References

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  13. Integral, Measure and Derivative: a unified approach, Dover, New York, 1977. (1977) MR0466463

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