Fourier Series and Wavelets 3

This comprehensive monograph presents the history and achievements of one of the most important figures in modern mathematics, covering the work of Fourier from his first memoir on the Analytical Theory of Heat to the latest developments in wavelet theory. Originally, Fourier series were used to describe and compute the functions which occur in heat diffusion and equilibrium, but they soon led to the development of new theories by Fourier's followers, and some of these original papers are considered in this text. Consists of two sections: the first, by Jean-Pierre Kahane, deals with Fourier series in the classical sense; the second, by Pierre-Gilles Lemarié-Rieusset, expounds the modern theory of wavelets. Includes original papers by Fourier, Dirichlet, Riemann, and Cantor