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Cambridge University Press Fourier Integrals in Classical Analysis: 210 (Cambridge Tracts in Mathematics, Series Number 210)

Name: Fourier Integrals in Classical Analysis: 210 (Cambridge Tracts in Mathematics, Series Number 210)
Brand: Cambridge University Press

Applied Mathematics

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This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so-called half-wave operator. To keep the treatment self-contained, the author begins with a rapid review of Fourier analysis and also develops the necessary tools from microlocal analysis. This second edition includes two new chapters. The first presents Hörmander's propagation of singularities theorem and uses this to prove the Duistermaat–Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1107120071
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 27 April 2017
Listed Since: 22 November 2016

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Cambridge University Press Fourier Integrals in Classical Analysis: 210 (Cambridge Tracts in Mathematics, Series Number 210)

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