Wavelets: An Elementary Treatment Of Theory And Applications

This book for applied mathematicians provides an elementary treatment of theory and applications of wavelets. Coverage includes: calculation of the wavelet decomposition using quadrature formulae; and fast wavelet transforms and Calderon-Zygmud operators.

---

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.