Non-orthogonal multi-resolution analysis, commutation between projectors and differentiation, and divergence-free vector wavelets.

Pierre Gilles Lemarie-Rieusset

Revista Matemática Iberoamericana (1992)

  • Volume: 8, Issue: 2, page 221-237
  • ISSN: 0213-2230

Abstract

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The notion of non-orthogonal multi-resolution analysis and its compatibility with differentiation (as expressed by the commutation formula) lead us to the construction of a multi-resolution analysis of L2(Rn)n which is well adapted to the approximation of divergence-free vector functions. Thus, we obtain unconditional bases of compactly supported divergence-free vector wavelets.

How to cite

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Lemarie-Rieusset, Pierre Gilles. "Analyses multi-résolutions non orthogonales, commutation entre projecteurs et derivation et ondelettes vecteurs à divergence nulle.." Revista Matemática Iberoamericana 8.2 (1992): 221-237. <http://eudml.org/doc/39426>.

@article{Lemarie1992,
author = {Lemarie-Rieusset, Pierre Gilles},
journal = {Revista Matemática Iberoamericana},
keywords = {Análisis armónico; Función vectorial; Divergencia; Resolución; Multiplicidad; Ondas; Supresión; Ortogonalidad; biorthogonal wavelet bases; differentiation; conjugate scaling functions; Riesz basis; nonorthogonal multiresolution analysis},
language = {fre},
number = {2},
pages = {221-237},
title = {Analyses multi-résolutions non orthogonales, commutation entre projecteurs et derivation et ondelettes vecteurs à divergence nulle.},
url = {http://eudml.org/doc/39426},
volume = {8},
year = {1992},
}

TY - JOUR
AU - Lemarie-Rieusset, Pierre Gilles
TI - Analyses multi-résolutions non orthogonales, commutation entre projecteurs et derivation et ondelettes vecteurs à divergence nulle.
JO - Revista Matemática Iberoamericana
PY - 1992
VL - 8
IS - 2
SP - 221
EP - 237
LA - fre
KW - Análisis armónico; Función vectorial; Divergencia; Resolución; Multiplicidad; Ondas; Supresión; Ortogonalidad; biorthogonal wavelet bases; differentiation; conjugate scaling functions; Riesz basis; nonorthogonal multiresolution analysis
UR - http://eudml.org/doc/39426
ER -

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