Radix representations, self-affine tiles, and multivariable wavelets

Curry, Eva

doi:10.1090/S0002-9939-06-08554-6

Radix representations, self-affine tiles, and multivariable wavelets
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Proc. Amer. Math. Soc. 134 (2006), 2411-2418 Request permission

Abstract:

We investigate the connection between radix representations for $\mathbb {Z}^n$ and self-affine tilings of $\mathbb {R}^n$. We apply our results to show that Haar-like multivariable wavelets exist for all dilation matrices that are sufficiently large.

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