REGULARITY AND CONSTRUCTION OF BOUNDARY MULTI WAVELETS
Fritz Keinert · Poincare Journal of Analysis and Applications · 2015
The conventional way of constructing boundary functions for wavelets on a finite interval is to form linear combinations of boundary-crossing scaling functions.In this article we focus instead on boundary functions defined by recursion relations.We show that the number of boundary functions at each end is uniquely determined, and derive conditions for determining regularity from the boundary recursion coefficients.We then develop an algorithm based on linear algebra which can be used to construct boundary functions with maximal regularity.