4th-order spline wavelets on a bounded interval

Abstract

The 4th-order spline wavelets on a bounded interval are constructed by the 4thorder truncated B-spline functions. These wavelets consist of inner and boundary wavelets. They are bases of wavelet space with finite dimensions.. Any function on an interval will be expanded as the sum of finite items of the scaling functions and wavelets. It plays an important role for numerical analysis of partial differential equations, signal processes, and other similar problems.link_to_subscribed_fulltex