WAVELET BASES IN BOUNDED DOMAINS AND APPLICATIONS presents an accessible treatment and description of discrete and generalized wavelet analysis. It begins with elementary local results, discusses basic new concepts of the multi-scale theory such as orthogonal and biorthogonal multiresolution analyses. Wavelet bases constitute a very important method for the study of many problems or image processing and they have the further advantage that they have a great flexibility and are easy to implement. This book also provides a systematic introduction to wavelet theory methods and their applications. The results and methods proesented should be of interest to graduate students and researchers working in wavelets.

Introduction / Multiresolution Analysis / Biorthogonal Multiresolution Analysis / Scaling Function and the Associated Wavelet / Wavelets with Compact Support / Analyze by Wavelets / More General Constructions of Wavelets on the Interval / General Wavelet bases on the Cube and Applications / General Segmented Multiresolution Analysis / Wavelets on a Manifold / Wavelet bases on a Triangle / Multiresolution Analysis Associated with the Dunk1 Operator / Dunk1 Wavelet Packets Associated with the Dunk1 Operator / Bibliography / Index

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