# Arbitrarily smooth orthogonal nonseparable wavelets in R 2

@article{Belogay1999ArbitrarilySO,
title={Arbitrarily smooth orthogonal nonseparable wavelets in R 2},
author={E. Belogay and Y. Wang},
journal={Siam Journal on Mathematical Analysis},
year={1999},
volume={30},
pages={678-697}
}
• Published 1999
• Mathematics
• Siam Journal on Mathematical Analysis
• For each $r\in\N$, we construct a family of bivariate orthogonal wavelets with compact support that are nonseparable and have vanishing moments of order r or less. The starting point of the construction is a scaling function that satisfies a dilation equation with special coefficients and a special dilation matrix M: the coefficients are aligned along two adjacent rows, and $\detwo$. We prove that if $\M^2=\pm 2I$, e.\,g., %%$\M=\ourmtx$ or $\M=\qsymtx$, $M=({0\,\,2 \atop 1\,\,0})$ or \$M=({1… CONTINUE READING
134 Citations

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