International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 2, Pages 307-314
doi:10.1155/S0161171298000428

Fractal multiwavelets related to the cantor dyadic group

W. Christopher Lang

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

Received 19 August 1996; Revised 5 February 1997

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 space S1,2.