Construction of non separable dyadic compactly supported orthonormal wavelet bases for L2(R2) of arbitrarily high regularity.

Antoine Ayache

Revista Matemática Iberoamericana (1999)

  • Volume: 15, Issue: 1, page 37-58
  • ISSN: 0213-2230

Abstract

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By means of simple computations, we construct new classes of non separable QMF's. Some of these QMF's will lead to non separable dyadic compactly supported orthonormal wavelet bases for L2(R2) of arbitrarily high regularity.

How to cite

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Ayache, Antoine. "Construction of non separable dyadic compactly supported orthonormal wavelet bases for L2(R2) of arbitrarily high regularity.." Revista Matemática Iberoamericana 15.1 (1999): 37-58. <http://eudml.org/doc/39563>.

@article{Ayache1999,
abstract = {By means of simple computations, we construct new classes of non separable QMF's. Some of these QMF's will lead to non separable dyadic compactly supported orthonormal wavelet bases for L2(R2) of arbitrarily high regularity.},
author = {Ayache, Antoine},
journal = {Revista Matemática Iberoamericana},
keywords = {Bases ortonormales; Ondículas; Soporte compacto; Funciones de escala; quadratic mirror filters; wavelets; multiresolution analysis},
language = {eng},
number = {1},
pages = {37-58},
title = {Construction of non separable dyadic compactly supported orthonormal wavelet bases for L2(R2) of arbitrarily high regularity.},
url = {http://eudml.org/doc/39563},
volume = {15},
year = {1999},
}

TY - JOUR
AU - Ayache, Antoine
TI - Construction of non separable dyadic compactly supported orthonormal wavelet bases for L2(R2) of arbitrarily high regularity.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 1
SP - 37
EP - 58
AB - By means of simple computations, we construct new classes of non separable QMF's. Some of these QMF's will lead to non separable dyadic compactly supported orthonormal wavelet bases for L2(R2) of arbitrarily high regularity.
LA - eng
KW - Bases ortonormales; Ondículas; Soporte compacto; Funciones de escala; quadratic mirror filters; wavelets; multiresolution analysis
UR - http://eudml.org/doc/39563
ER -

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