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Fourier series and wavelets. (English) Zbl 0966.42002
Studies in the Development of Modern Mathematics. 3. London: Gordon and Breach Publishers. xii, 394 p. (1996).
Publisher’s description: 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.

42-02 Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
42B05 Fourier series and coefficients in several variables
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series