Fourier Integrals in Classical Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science
Cover of the book Fourier Integrals in Classical Analysis by Christopher D. Sogge, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Christopher D. Sogge ISBN: 9781108234252
Publisher: Cambridge University Press Publication: April 27, 2017
Imprint: Cambridge University Press Language: English
Author: Christopher D. Sogge
ISBN: 9781108234252
Publisher: Cambridge University Press
Publication: April 27, 2017
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book The Cambridge Companion to Abelard by Christopher D. Sogge
Cover of the book Heidegger and Unconcealment by Christopher D. Sogge
Cover of the book A Biostatistics Toolbox for Data Analysis by Christopher D. Sogge
Cover of the book Pheromones and Animal Behavior by Christopher D. Sogge
Cover of the book Rabbi Meir of Rothenburg and the Foundation of Jewish Political Thought by Christopher D. Sogge
Cover of the book Praxis by Christopher D. Sogge
Cover of the book Emergency Radiology COFFEE Case Book by Christopher D. Sogge
Cover of the book Ancestral Fault in Ancient Greece by Christopher D. Sogge
Cover of the book Pleasure in Ancient Greek Philosophy by Christopher D. Sogge
Cover of the book Violence and Social Orders by Christopher D. Sogge
Cover of the book The Cambridge History of Early Medieval English Literature by Christopher D. Sogge
Cover of the book The Theory and Applications of Instanton Calculations by Christopher D. Sogge
Cover of the book An Introduction to Rights by Christopher D. Sogge
Cover of the book Understanding Labor and Employment Law in China by Christopher D. Sogge
Cover of the book Religious Persecution and Political Order in the United States by Christopher D. Sogge
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy