Fourier Integrals in Classical Analysis

Language: English

Published by Cambridge University Press, GB, 2017

1107120071 / 9781107120075

Series: Book 35 of 46 - Cambridge Tracts in 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.

Seller Inventory # LU-9781107120075

Title
Fourier Integrals in Classical Analysis
Author
Christopher D. Sogge
Publisher
Cambridge University Press, GB
Publication year
2017
Condition
New
Binding
Hardback
Language
English
ISBN 10
1107120071
ISBN 13
9781107120075
Edition
2nd Edition
Item weight
680 grams
Series
Book 35 of 46: Cambridge Tracts in Mathematics

Rarewaves.com USA

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