Fourier Integrals in Classical Analysis (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2017

1107120071 / 9781107120075

Series: Book 35 of 46 - Cambridge Tracts in Mathematics

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Seller: CitiRetail, Stevenage, United KingdomCitiRetail

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Hardcover

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Hardcover. 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 Hoermander's propagation of singularities theorem and uses this to prove the DuistermaatGuillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff. This advanced monograph, concerned with modern treatments of central problems in harmonic analysis, explores the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. New chapters discuss the DuistermaatGuillemin theorem and results related to the Kakeya conjecture. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Title
Fourier Integrals in Classical Analysis (Hardcover)
Author
Christopher D. Sogge
Publisher
Cambridge University Press, Cambridge
Publication year
2017
Condition
new
Binding
Hardcover
Language
English
ISBN 10
1107120071
ISBN 13
9781107120075
Edition
2nd Edition
Series
Book 35 of 46: Cambridge Tracts in Mathematics

CitiRetail

Stevenage, United Kingdom

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