Wavelets, Fractals, and Fourier Transforms Based on the Proceedings of a Conference on Wavelets, Fractals, and Fourier Transforms : New Developments and New Applications Organized by the Institute of Mathematics and It Applications and Société De Mathematiques Appliquées Et Industrielles and Held at Newnham College, Cambridge in December 1990

Recently there have been many developments and new applications of mathematical techniques for describing complex algebraic functions and analyzing empirical continuous data derived from many different types of signal, for example turbulent flows, oil well logs and electrical signals from the eye. Probably the most important and rapidly developing of these techniques involve Fourier methods (the oldest - nearly 200 years), fractals (about 30 years old in practice, though 80 in theory) and wavelets (about 15 years old).;An international conference on these developments was organized jointly by the Societe de Mathemetiques et Industrielles (SMAI) and co-sponsered by the European Research Council of Fluid Turbulence and Combustion (ERCOFTAC), Trinity College and the US Air Force. It was held at Newnham College, Cambridge, in December 1990.;Readers of this volume should find that these papers provide a useful introduction to the mathematics of wavelets, fractals and Fourier transforms, and to their many applications. They should realize that the different methods of analysis expose different aspects of complex signals and surfaces and that the most suitable method often depends on the application under construction.