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
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.