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 of Mathematics and Physics as Numerical Simulation for elliptic 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.