Using the matrix refinement equation for the construction of wavelets on invariant sets

Charles A. Micchelli; Yuesheng Xu

doi:10.1006/acha.1994.1024

ACHA

Paper

01 Jan 1994

Using the matrix refinement equation for the construction of wavelets on invariant sets

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Abstract

We construct discontinuous wavelets on invariant sets in ℝn by using the matrix refinement equation and the basic operation of translation and scale. In the special case of the unit interval we show how to modify our construction toobtain continuous wavelets. © 1994 Academic Press, Inc.

Conference paper