Construction of non separable dyadic compactly supported orthonormal wavelet bases for $L^2 (\mathbb R^2)$ of arbitrarily high regularity

Antoine Ayache

doi:10.4171/rmi/249

Construction of non separable dyadic compactly supported orthonormal wavelet bases for $L^{2} (R^{2})$ of arbitrarily high regularity

Antoine Ayache
Université Lille 1, Villeneuve d'Asq, France

$Construction of non separable dyadic compactly supported orthonormal wavelet bases for $L^2 (\mathbb R^2)$ of arbitrarily high regularity cover$

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Abstract

By means of simple computations we construct new classes of non separable QMFs. Some of these QMFs will lead to non separable dyadic compactly supported orthonormal wavelet bases for $L^{2} (R^{2})$ of arbitrarily high regularity.

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Antoine Ayache, Construction of non separable dyadic compactly supported orthonormal wavelet bases for $L^{2} (R^{2})$ of arbitrarily high regularity. Rev. Mat. Iberoam. 15 (1999), no. 1, pp. 37–58

DOI 10.4171/RMI/249