This volume contains refereed research articles on the active area of wavelets and multi-wavelets. The book draws upon work presented by experts in the field during the special session on "Wavelets, Multiwavelets and Their Applications" at the Joint Mathematics Meetings in San Diego (January 1997). Wavelets were implicit in mathematics, physics, signal or image processing, and numerical analysis long before they were given the status of a unified scientific field in the late 1980s. They continue to be one of the few subjects that have attracted considerable interest from the mathematical community as well as from other diverse disciplines where they have promising applications. The topic is in full evolution, with many active research efforts emerging from the fruitful interaction of various mathematical subjects and other scientific disciplines.