Fractal multiwavelets related to the cantor dyadic group

Author:

Lang W. Christopher1

Affiliation:

1. Department of Mathematics, Indiana University Southeast, New Albany, IN 47150, USA

Abstract

Orthogonal wavelets on the Cantor dyadic group are identified with multiwavelets on the real line consisting of piecewise fractal functions. A tree algorithm for analysis using these wavelets is described. Multiwavelet systems with algorithms of similar structure include certain orthogonal compactly supported multiwavelets in the linear double-knot spline spaceS1,2.

Funder

Indiana University

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

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