Over the last two years, wavelet methods have shown themselves to be of considerable use to harmonic analysts and, in particular, advances have been made concerning their applications. The strength of wavelet methods lies in their ability to describe local phenomena more accurately than a traditional expansion in sines and cosines can. Thus, wavelets are ideal in many fields where an approach to transient behaviour is needed, for example, in considering acoustic or seismic signals, or in image processing. Yves Meyer stands the theory of wavelets firmly upon solid ground by basing his book on the fundamental work of Calderón, Zygmund and their collaborators. For anyone who would like an introduction to wavelets, this book will prove to be a necessary purchase.

Wavelets and Operators (Cambridge Studies in Advanced Mathematics, Vol. 37)

Science & Math

Meyer, Yves

Mathematics

Cambridge University Press

Now in paperback, this remains one of the classic expositions of the theory of wavelets from two of the subject's leading experts. This volume discusses the theory of paradifferential operators and the Cauchy kernel on Lipschitz curves with the emphasis firmly on their connection with wavelet bases. Sparse matrix representations of these operators can be given in terms of wavelet bases that have important applications in image processing and numerical analysis. This method is now widely studied and can be used to tackle a wide variety of problems arising in science and engineering. Put simply, this is an essential purchase for anyone researching the theory of wavelets.

Wavelets: Calderón-Zygmund and Multilinear Operators (Cambridge Studies in Advanced Mathematics, Series Number 48)

Coifman, Ronald

Now in paperback, this remains one of the classic expositions of the theory of wavelets from two of the subject's leading experts. This volume discusses the theory of paradifferential operators and the Cauchy kernel on Lipschitz curves with the emphasis firmly on their connection with wavelet bases. Sparse matrix representations of these operators can be given in terms of wavelet bases that have important applications in image processing and numerical analysis. This method is now widely studied and can be used to tackle a wide variety of problems arising in science and engineering. Put simply, this is an essential purchase for anyone researching the theory of wavelets.

Currently, new trends in mathematics are emerging from the fruitful interaction between signal processing, image processing, and classical analysis. One example is given by "wavelets", which incorporate both the know-how of the Calderon-Zygmund school and the efficiency of some fast algorithms developed in signal processing (quadrature mirror filters and pyramidal algorithms.) A second example is "multi-fractal analysis". The initial motivation was the study of fully developed turbulence and the introduction by Frisch and Parisi of the multi-fractal spectrum. Multi-fractal analysis provides a deeper insight into many classical functions in mathematics. A third example---"chirps"---is studied in this book. Chirps are used in modern radar or sonar technology. Once given a precise mathematical definition, chirps constitute a powerful tool in classical analysis. In this book, wavelet analysis is related to the 2-microlocal spaces discovered by J. M. Bony. The authors then prove that a wavelet based multi-fractal analysis leads to a remarkable improvement of Sobolev embedding theorem. In addition, they show that chirps were hidden in a celebrated Riemann series. Features: Provides the reader with some basic training in new lines of research. Clarifies the relationship between pointwise behavior and size properties of wavelet coefficents.

Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions (Memoirs of the American Mathematical Society)

Jaffard, Stéphane

Amer Mathematical Society

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.

Wavelets: Algorithms & Applications

Society for Industrial & Applied

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. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to Hölder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere.

Wavelets: Tools for Science and Technology

Ryan, Robert D.

Society for Industrial and Applied Mathematics

Format Paperback 1970 Subject Mathematics

Nombres de Pisot, Nombres de Salem et Analyse Harmonique: Cours Peccot donne au College de France en avril-mai 1969 (Lecture Notes in Mathematics, 117) (French Edition)

Springer

Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on nonlinear evolution equations and related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, localized in space or in time variable. Ukai discusses the asymptotic analysis theory of fluid equations, the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.

Mathematical Foundation of Turbulent Viscous Flows: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 1-5, 2003 (Lecture Notes in Mathematics, 1871)

Gallavotti, Giovanni

Constantin, Peter

Kazhikhov, Alexandre V.

Ukai, Seiji

See the best price to sell, buy, or rent books by Meyer, Yves. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Meyer, Yves

See the best price to sell, buy, or rent books by Meyer, Yves. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Wavelets and Operators (Cambridge Studies in Advanced Mathematics, Vol. 37)

Wavelets: Calderón-Zygmund and Multilinear Operators (Cambridge Studies in Advanced Mathematics, Series Number 48)

Wavelets: Calderón-Zygmund and Multilinear Operators (Cambridge Studies in Advanced Mathematics, Series Number 48)

Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions (Memoirs of the American Mathematical Society)

Wavelets: Algorithms & Applications

Wavelets: Tools for Science and Technology

Nombres de Pisot, Nombres de Salem et Analyse Harmonique: Cours Peccot donne au College de France en avril-mai 1969 (Lecture Notes in Mathematics, 117) (French Edition)

Mathematical Foundation of Turbulent Viscous Flows: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 1-5, 2003 (Lecture Notes in Mathematics, 1871)