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Fourier integrals in classical analysis

Sogge, Christopher D. (1960-)

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Fourier integrals in classical analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fourier integrals in classical analysis/ Christopher D. Sogge, The Johns Hopkins University.
Author:	Sogge, Christopher D.
Published:	Cambridge :Cambridge University Press, : 2017.,
Description:	xiv, 334 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 25 May 2017).
Subject:	Fourier series. -
Online resource:	https://doi.org/10.1017/9781316341186
ISBN:	9781316341186

Fourier integrals in classical analysis
Sogge, Christopher D.1960-

Fourier integrals in classical analysis[electronic resource] /Christopher D. Sogge, The Johns Hopkins University. - Second edition. - Cambridge :Cambridge University Press,2017. - xiv, 334 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;210. - Cambridge tracts in mathematics ;210..

Title from publisher's bibliographic system (viewed on 25 May 2017).

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 Hormander'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.

ISBN: 9781316341186Subjects--Topical Terms:

544165
Fourier series.

LC Class. No.: QA404 / .S64 2017

Dewey Class. No.: 515.723

Fourier integrals in classical analysis
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100 1 $a Sogge, Christopher D. $q (Christopher Donald), $d 1960- $3 3470424
245 1 0 $a Fourier integrals in classical analysis $h [electronic resource] / $c Christopher D. Sogge, The Johns Hopkins University.
250 $a Second edition.
260 $a Cambridge : $b Cambridge University Press, $c 2017.
300 $a xiv, 334 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 210
500 $a Title from publisher's bibliographic system (viewed on 25 May 2017).
520 $a 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 Hormander'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.
650 0 $a Fourier series. $3 544165
650 0 $a Fourier integral operators. $3 700325
650 0 $a Fourier analysis. $3 532730
830 0 $a Cambridge tracts in mathematics ; $v 210. $3 3470606
856 4 0 $u https://doi.org/10.1017/9781316341186