On the existence of multi-resolution analysis in wavelet theory.

Pierre Gilles Lemarie-Rieusset

Revista Matemática Iberoamericana (1992)

  • Volume: 8, Issue: 3, page 457-474
  • ISSN: 0213-2230

Abstract

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On montre qu'une base d'ondelettes (ψj,k) de L2(R) avec une fonction mère ψ höldérienne à support compact provient nécessairement d'une analyse multi-résolution. La fonction-père φ a alors la même régularité que la fonction ψ et peut être choisie à support compact.

How to cite

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Lemarie-Rieusset, Pierre Gilles. "Sur l'existence des analyses multi-résolutions en théorie des ondelettes.." Revista Matemática Iberoamericana 8.3 (1992): 457-474. <http://eudml.org/doc/39428>.

@article{Lemarie1992,
author = {Lemarie-Rieusset, Pierre Gilles},
journal = {Revista Matemática Iberoamericana},
keywords = {Análisis armónico; Ondículas; Compacidad; Resolución; Multiplicidad; Soporte de una función; Regularidad; wavelets; father function; mother function; orthonormal basis; multiresolution analysis},
language = {fre},
number = {3},
pages = {457-474},
title = {Sur l'existence des analyses multi-résolutions en théorie des ondelettes.},
url = {http://eudml.org/doc/39428},
volume = {8},
year = {1992},
}

TY - JOUR
AU - Lemarie-Rieusset, Pierre Gilles
TI - Sur l'existence des analyses multi-résolutions en théorie des ondelettes.
JO - Revista Matemática Iberoamericana
PY - 1992
VL - 8
IS - 3
SP - 457
EP - 474
LA - fre
KW - Análisis armónico; Ondículas; Compacidad; Resolución; Multiplicidad; Soporte de una función; Regularidad; wavelets; father function; mother function; orthonormal basis; multiresolution analysis
UR - http://eudml.org/doc/39428
ER -

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