Wavelets: An Analysis Tool

This popular book provides an explanation in elementary language of the mathematical foundations of the theory of wavelet analysis. Written for postgraduate students and researchers, this timely introduction takes account of the continuous transform as well as its discretized version, the ortho-normal basis. There are detailed discussions of wavelet analysis of regular functions, tempered distributions, and square integrable functions. The continuous wavelet transform is deduced by means of various sampling theorems, and used as a mathematical microscope to analyse fractals.