In this text, the author presents mathematical background and major wavelet applications, ranging from the digital telephone to galactic structure and creation of the universe. It discusses in detail the historic origins, the algorithms and the applications of wavelets.
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This long-awaited update of Meyer's Wavelets: Algorithms and Applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy. Contains up-to-date information on the interplay between wavelets and nonlinear approximation.
Stéphane Jaffard is a Professor of Mathematics at the University of Paris XII at Créteil and at the Institut Universitaire of France. Yves Meyer is a Professor of Mathematics at Ecole Normale Supérieure at Cachan and a member of the French Academy of Sciences. Robert Ryan is a mathematician and translator living in Paris.
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