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.References
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Additional Information
- Eva Curry
- Affiliation: Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5
- Email: ecurry@mathstat.dal.ca
- Received by editor(s): March 9, 2005
- Published electronically: March 21, 2006
- Communicated by: Jonathan M. Borwein
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2411-2418
- MSC (2000): Primary 52C22, 42C40; Secondary 11A63
- DOI: https://doi.org/10.1090/S0002-9939-06-08554-6
- MathSciNet review: 2213715