1.- DECOMPOSITION OF HARDY FUNCTIONS INTO SQURE WAVELTS OF CONSTANTS SHAPE.- 2.- TWO-SCALE DIFFERENCE EQUATIONS IL LOCAL REGULARITY IN FINITE PRODUCTS OF MATRICES AND FRATALS . - 3.-TWO-SCALE DIFFERENCE EQUATIONS IeXISTENCE AND GLOBAL REGULARITY OF SOLUTION S 4.-A NONLINEAR OPERATOR RELATED TO SCALING FUNCTIONS AND WAVELETS 5.- DISCRETE SPLINE FILTERS FOR MULTIRESOLUTINS AND WAVELETS OF