This volume contains articles by eminent mathematicians on wavelet analysis applications of which include image processing, signal processing, data compression, numerical methods. There are given certain applications where classical approach was found to be inadequate. A systematic mathematical study of approximation properties of neural networks which remained absent from the literature for a long time has also been presented.

Continuous Wavelet Transform: An Introduction / Introducing Wavelets Through Splines and Multiresolution Analysis/ Compactly Supported Wavelets / Abelian Theorems for the Wavelet Transform / Wavelets as Unconditional Bases for the Spaces, LP(R), 1 < p < a / Wavelets and Unconditional Bases in Approximation Theory / Introduction to Frames / Random Schrodinger Operators with Wavelet Interactions / Spline Wavelets on an Interval / Trigonometric Wavelets / From Orthogonal Polynomials to Iteration Schemes for Linear Systems: CG and CR Revisited / Approximation Theory and Neural Networks / Orthogonal Polynomials, Potential Theory and Discrepancy Theorems / Potential Theory and Discrepancy Estimates in Higher Dimensions

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