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

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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.

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Ayache, A. (1999). Construction of non separable dyadic compactly supported orthonormal wavelet bases for L2 (ℝ2) of arbitrarily high regularity. Revista Matematica Iberoamericana, 15(1), 37–58. https://doi.org/10.4171/RMI/249

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