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arXiv · 1304.5547

Simple wavelet sets in R^n

Kathy D. Merrill
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Abstract

Wavelet sets that are finite unions of convex sets are constructed in $\mathbb R^n$, $n\geq 2$, for dilation by any expansive matrix that has a power equal to a scalar times the identity and also has all singular values greater than $\sqrt n$. In particular, we produce simple wavelet sets in any dimension for dilation by any real scalar greater than 1.

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Kathy D. Merrill. 2013-04-19. Simple wavelet sets in R^n. https://doi.org/10.1007/s12220-013-9468-8

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