《调和分析基础教程》
《调和分析基础教程》
出版时间：2009-6
出版社：世界图书出版公司
作者：特玛
页数：192
《调和分析基础教程》内容概要[E]
Exponentials、The Bessel Inequality、Convergence in the L2-Norm、Uniform Convergence of Fourier Series 、Periodic Functions Revisited、Exercises 等。
《调和分析基础教程》书籍目录[E]
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 Plancherel's 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 ExercisesII 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 8 Plancherel TheoremIII Noncommutative Groups 9 Matrix Groups 10 The Representations of SU(2) 11 The Peter-Weyl Theorem 12 The Heisenberg GroupA The Riemann Zeta FunctionB Haar IntegrationBibiliographyIndex