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}
}
  • E. Belogay, Y. Wang
  • 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
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