Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) pdf epub mobi txt 电子书下载 2024

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Christopher D. Sogge

Cambridge University Press

2008-04-24

252

USD 50.00

Paperback

Cambridge Tracts in Mathematics

9780521060974

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发表于2024-11-25

Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) pdf epub mobi txt 电子书下载 2024

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Fourier Integrals in Classical Analysis is an advanced monograph 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. Using microlocal analysis, the author, in particular, studies problems involving maximal functions and Riesz means using the so-called half-wave operator. This self-contained book starts with a rapid review of important topics in Fourier analysis. The author then presents the necessary tools from microlocal analysis, and goes on to give a proof of the sharp Weyl formula which he then modifies to give sharp estimates for the size of eigenfunctions on compact manifolds. Finally, at the end, the tools that have been developed are used to study the regularity properties of Fourier integral operators, culminating in the proof of local smoothing estimates and their applications to singular maximal theorems in two and more dimensions.

Fourier Integrals in Classical Analysis (Cambridge Tracts in Mathematics) 下载 mobi epub pdf txt 电子书