Articles liés à Fourier Integrals in Classical Analysis

Fourier Integrals in Classical Analysis - Couverture rigide

Livre 35 sur 46: Cambridge Tracts in Mathematics

Sogge, Christopher D.

 
9781107120075: Fourier Integrals in Classical Analysis
Couverture rigide
ISBN 10 : 1107120071 ISBN 13 : 9781107120075
Editeur : Cambridge University Press, 2017

Synopsis

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.

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À propos de l'auteur

Christopher D. Sogge is the J. J. Sylvester Professor of Mathematics at The John Hopkins University and the editor-in-chief of the American Journal of Mathematics. His research concerns Fourier analysis and partial differential equations. In 2012, he became one of the Inaugural Fellows of the American Mathematical Society. He is also a fellow of the National Science Foundation, the Alfred P. Sloan Foundation and the Guggenheim Foundation, and he is a recipient of the Presidential Young Investigator Award. In 2007, he received the Diversity Recognition Award from The Johns Hopkins University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2017
Langue
anglais
ISBN 10 
1107120071
ISBN 13 
9781107120075
Reliure
Relié
Numéro d'édition
2
Nombre de pages
348
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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