Wavelets is a new area that stands at the intersection of the frontiers of mathematics, scientific computing, and signal and image processing, and is one of the major research directions in science in the last decade which is still undergoing rapid growth. This book brings together eleven of the polished versions of the seminars and lectures held over a year-long programme on "Wavelets and their Applications" in Hong Kong, and which cumulated to a workshop in May 1997 which was attended by scientists and graduate students from China, Singapore, North and South America, and Europe. The volume covers the topics of: Theory of frames and applications; Wavelet coefficients; Refinable functions and approximation; Multiwavelets; and Tiling. . Advances in Wavelets will prove a useful reference source to graduate students and researchers alike on the many applications of wavelets.