調和分析基礎教程(第2版)(英文版) [A First Course in Harmonic analysis]

調和分析基礎教程(第2版)(英文版) [A First Course in Harmonic analysis] pdf epub mobi txt 電子書 下載 2025

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齣版社: 世界圖書齣版公司
ISBN:9787510004827
版次:1
商品編碼:10184588
包裝:平裝
外文名稱:A First Course in Harmonic analysis
開本:24開
齣版時間:2009-06-01
用紙:膠版紙
頁數:192
正文語種:英語

具體描述

內容簡介

  Exponentials、The Bessel Inequality、Convergence in the L2-Norm、Uniform Convergence of Fourier Series 、Periodic Functions Revisited、Exercises 等。

內頁插圖

目錄

I Fourier Analysis
1 Fourier Series
1.1 Periodic Functions
1.2 Exponentials
1.3 The Bessel Inequality
1.4 Convergence in the L2-Norm
1.5 Uniform Convergence of Fourier Series
1.6 Periodic Functions Revisited
1.7 Exercises

2 Hilbert Spaces
2.1 Pre-Hilbert and Hilbert Spaces
2.2 2-Spaces
2.3 Orthonormal Bases and Completion
2.4 Fourier Series Revisited
2.5 Exercises

3 The Fourier Transform
3.1 Convergence Theorems
3.2 Convolution
3.3 The Transform
3.4 The Inversion Formula
3.5 Plancherels Theorem
3.6 The Poisson Summation Formula
3.7 Theta Series
3.8 Exercises

4 Distributions
4.1 Definition
4.2 The Derivative of a Distribution
4.3 Tempered Distributions
4.4 Fourier Transform
4.5 Exercises

II LCA Groups
5 Finite Abelian Groups
5.1 The Dual Group
5.2 The Fourier Transform
5.3 Convolution
5.4 Exercises

6 LCA Groups
6.1. Metric Spaces and Topology
6.2 Completion
6.3 LCA Groups
6.4 Exercises

7 The Dual Group
7.1 The Dual as LCA Group
7.2 PontryaginDuality
7.3 Exercises

8 Plancherel Theorem
8.1 Haar Integration
8.2 Fubinis Theorem
8.3 Convolution
8.4 Plancherels Theorem
8.5 Exercises

III Noncommutative Groups
9 Matrix Groups
9.1 GLn(C) and U(n)
9.2 Representations
9.3 The Exponential
9.4 Exercises

10 The Representations of SU(2)
10.1 The Lie Algebra
10.2 The Representations
10.3 Exercises

11 The Peter-Weyl Theorem
11.1 Decomposition of Representations
11.2 The Representation on Hom(Vr,VT)
11.3 The Peter-Weyl Theorem
11.4 AReformulation
11.5 Exercises

12 The Heisenberg Group
12.1 Definition
12.2 The Unitary Dual
12.3 Hilbert-Schmidt Operators
12.4 The Plancherel Theorem for H
12.5 AReformulation
12.6 Exercises
A TheRiemannZetaFunction
B Haar Integration
Bibiliography
Index

前言/序言



用戶評價

評分

京東的服務一直以來還是不錯的,但這本書印刷質量隻能用“極爛”兩個字來形容,毀瞭這麼好的一本名著。

評分

英文版 得好好學英文瞭

評分

用下來感覺不錯的。好評

評分

評分

This book is one of the finest maths books I have ever seen. Harmonic analysis is an important field in analysis and is only taught in graduate courses in China. However, this book gives a new view of harmonic analysis and can be readily understood by undergraduate students. In this way, the book has made huge progress in maths education.

評分

。。。。。。。。。。。。。。。。。。。。

評分

配送太慢

評分

英文版 得好好學英文瞭

評分

配送太慢

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