Wavelets and allied topics
著者
書誌事項
Wavelets and allied topics
Alpha science international, c2001
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Wavelet analysis, an interesting area of mathematics, witnessed a tremendous growth during the past decade, the applications of which include image processing, signal processing, data compression, numerical methods etc. This volume contains articles by eminent mathematicians on some of these aspects of wavelet theory. 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. This book will be useful to postgraduates and researchers working or intend to work in areas of Wavelet theory.
目次
- Continuous Wavelet Transform: An Introduction - A. Ojha / Introducing Wavelets Through Splines and Multiresolution Analysis - H.P. Dikshit / Compactly Supported Wavelets - U.B. Tewari / Abelian Theorems for the Wavelet Transform - R.S. Pathak/ Wavelets as Unconditional Bases for the Spaces, LP(R)
- - S. Madan / Wavelets and Unconditional Bases in Approximation Theory - G.S. Rao / Introduction to Frames - S. Bhargava / Random Schrodinger Operators with Wavelet Interactions - P. Hislop, W. Kirsch and M. Krishna / Spline Wavelets on an Interval - N. Weyrich / Trigonometric Wavelets - J. Prestin / From Orthogonal Polynomials to Iteration Schemes for Linear Systems: CG and CR Revisited - B. Fischer / Approximation Theory and Neural Networks - H.N. Mhaskar / Orthogonal Polynomials, Potential Theory and Discrepancy Theorems - H.P. Blatt / Potential Theory and Discrepancy Estimates in Higher Dimensions - M.Goetz.
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