Regularity of wavelet bases and ergodic measures.

Albert Cohen; Jean-Pierre Conze

Revista Matemática Iberoamericana (1992)

  • Volume: 8, Issue: 3, page 351-365
  • ISSN: 0213-2230

Abstract

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Nous reprenons la construction des bases orthonormées d'ondelettes à partir des filtres miroirs en quadrature tel qu'elle apparaît dans [4]. Nous montrons que leur régularité est liée à une mesure invariante pour la transformation ω → 2ω mod-2π. Cette méthode permet d'obtenir le facteur exact qui relie asymptotiquement la régularité des ondelettes constriutes dans [4] à la taille de leur support.

How to cite

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Cohen, Albert, and Conze, Jean-Pierre. "Régularité des bases d'ondelettes et mesures ergodiques.." Revista Matemática Iberoamericana 8.3 (1992): 351-365. <http://eudml.org/doc/39432>.

@article{Cohen1992,
author = {Cohen, Albert, Conze, Jean-Pierre},
journal = {Revista Matemática Iberoamericana},
keywords = {Ondas; Bases ortonormales; Cuadratura; Teoría ergódica; Medidas; Regularidad; Filtrado; Reflexión; wavelets; ergodic measures; scale-function; bases; multi-resolution analysis; regularity; invariant measure; dynamical system},
language = {fre},
number = {3},
pages = {351-365},
title = {Régularité des bases d'ondelettes et mesures ergodiques.},
url = {http://eudml.org/doc/39432},
volume = {8},
year = {1992},
}

TY - JOUR
AU - Cohen, Albert
AU - Conze, Jean-Pierre
TI - Régularité des bases d'ondelettes et mesures ergodiques.
JO - Revista Matemática Iberoamericana
PY - 1992
VL - 8
IS - 3
SP - 351
EP - 365
LA - fre
KW - Ondas; Bases ortonormales; Cuadratura; Teoría ergódica; Medidas; Regularidad; Filtrado; Reflexión; wavelets; ergodic measures; scale-function; bases; multi-resolution analysis; regularity; invariant measure; dynamical system
UR - http://eudml.org/doc/39432
ER -

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