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ISSN 1088-6826(e) ISSN 0002-9939(p)

Radix representations, self-affine tiles, and multivariable wavelets

Author: Eva Curry
Journal: Proc. Amer. Math. Soc. 134 (2006), 2411-2418
MSC (2000): Primary 52C22, 42C40; Secondary 11A63
Posted: March 21, 2006
MathSciNet review: 2213715
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Abstract | References | Similar Articles | Additional Information

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

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08554-6
PII: S 0002-9939(06)08554-6
Keywords: Self-affine tiling, radix representation, multivariable wavelet, Haar-like wavelet, dilation matrix
Received by editor(s): March 9, 2005
Posted: March 21, 2006
Communicated by: Jonathan M. Borwein
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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