调和分析基础教程
2009-6
世界图书出版公司
特玛
192
无
Exponentials、The Bessel Inequality、Convergence in the L2-Norm、Uniform Convergence of Fourier Series 、Periodic Functions Revisited、Exercises 等。
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
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在研究模式识别的算法，补补课
Stein的要更全面
看着是第二版就买了。