Description

Book Synopsis
The concept of 'wave packet analysis' originates in Carleson's famous proof of almost everywhere convergence of Fourier series of $L^2$ functions. This work emphasizes the classical successes (Carleson's theorem and the Hilbert transform) in the main development.

Table of Contents
Introduction Wavelets and square functions Interpolation of multilinear operators Paraproducts Wave packets Multilinear forms with modulation symmetries Carleson's theorem The Walsh model Further applications of wave packet analysis Bibliography.

Wave Packet Analysis

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    A Paperback by American Mathem American Mathem

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      Book details

      Publisher American Mathematical Society
      Published 2/28/2006 12:00:00 AM
      ISBN-13 9780821836613
      978-0821836613
      ISBN-10 0821836617

      Description

      Book Synopsis
      The concept of 'wave packet analysis' originates in Carleson's famous proof of almost everywhere convergence of Fourier series of $L^2$ functions. This work emphasizes the classical successes (Carleson's theorem and the Hilbert transform) in the main development.

      Table of Contents
      Introduction Wavelets and square functions Interpolation of multilinear operators Paraproducts Wave packets Multilinear forms with modulation symmetries Carleson's theorem The Walsh model Further applications of wave packet analysis Bibliography.

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