WAVELETS: AN ELEMENTARY TREATMENT OF THEORY AND APPLICATIONS

Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers.

The emphasis in this volume, based on an intensive course on Wavelets given at CWI, Amsterdam, is on the affine case.

The first part presents a concise introduction of the underlying theory to the uninitiated reader.

The second part gives applications in various areas.

Some of the contributions here are a fresh exposition of earlier work by others, while other papers contain new results by the authors.

The areas are so diverse as seismic processing, quadrature formulae, and wavelet bases adapted to inhomogeneous cases.Contents:Wavelets: First Steps (N M Temme)Wavelets: Mathematical Preliminaries (P W Hemker et al.)The Continuous Wavelet Transform (T H Koornwinder)Discrete Wavelets and Multiresolution Analysis (H J A M Heijmans)Image Compression Using Wavelets (P Nacken)Computing with Daubechies' Wavelets (A B Olde Daalhuis)Wavelet Bases Adapted to Inhomogeneous Cases (P W Hemker & F Plantevin)Conjugate Quadrature Filters for Multiresolution Analysis and Synthesis (E H Dooijes)Calculation of the Wavelet Decomposition Using Quadrature Formulae (W Sweldens & R Piessens)Fast Wavelet Transforms and Calderón-Zygmund Operators (T H Koornwinder)The Finite Wavelet Transform with an Application to Seismic Processing (J A H Alkemade)Wavelets Understand Fractals (M Hazewinkel)Readership: Applied mathematicians, numerical analysts, physicists, electrical engineers and signal analysts (sounds, images).