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arxiv: 1002.4095 · v1 · submitted 2010-02-22 · 🧮 math.DS

Radix Representations, Self-Affine Tiles, and Multivariable Wavelets

classification 🧮 math.DS
keywords multivariableradixrepresentationsself-affinewaveletsapplyconnectiondilation
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We investigate the connection between radix representations for Z^n and self-affine tilings of R^n. We apply our results to show that Haar-like multivariable wavelets exist for all dilation matrices that are sufficie

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