In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic accoun...
Fourier Analysis on Groups (Rudin/Fourier) || Fourier Analysis on Ordered Groupsordered groupsgeometric meansfactorization theoremsinvariant subspacesgap theoremdoi:10.1002/9781118165621.ch8RudinWalter
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[1] Rahimi, Ali, and Benjamin Recht. "Random features for large-scale kernel machines." Advances in neural information processing systems 20 (2007): 1177-1184. [2] W. Rudin. Fourier Analysis on Groups. Wiley Classics Library. Wiley-Interscience, New York, reprint edition edition, 1994. ...
注:用到的相关结论可以参考Rudin《Real and Complex Analysis》。 Exercise 14 Prove that the periodization of the Fejér kernel \mathcal{F}_N on the real line (Exercise 9) is equal to the Fejér kernel for periodic functions of period 1. In other words, \sum_{n=-\infty}^{\infty}\mathca...
傅立叶Fourier 变换 Exercises in Fourier Analysis p-adic数域上的fourier分析 nullp-adic数域上的Fourier分析 Fourier Transform Interferometry Fourier Transform Spectrometry 算法分析设计快速FOURIER变换算法报告 分数阶Fourier变换 The Fourier reconstruction of a head SECTION FOURIER ANALYSIS ON GROUPS(RUDIN)...
? Rudin, Walter (1987), Real and Complex Analysis (Third ed.), Singapore: McGraw Hill, ISBN?0-07-100276-6. Fourier transform ? Stein, Elias; Shakarchi, Rami (2003), Fourier Analysis: An introduction, Princeton University Press, ISBN?0-691-11384-X. ? Stein, Elias; Weiss, Guido (1971...
Rudin, W.: Fourier Analysis on Groups. Wiley Interscience (1990) 27. Scho¨lkopf, B., Smola, A.: Learning with kernels: support vector machines, regu- larization, optimization, and beyond. MIT Press (2002) 28. Sreekanth, V., Vedaldi, A., Jawahar, C.V., Zisserman, A.: Generalized...
W. Rudin, Fourier Analysis on Groups, Interscience, New York 1962. MATH Google Scholar W. Rudin, Real and Complex Analysis, McGraw-Hill, New York 1966. MATH Google Scholar A. Zygmund, Trigonometric Series II, Cambridge University Press, Cambridge 1959. MATH Google Scholar Download references...
contexts of reproducing kernel theory and of abstract harmonic analysis, using locally compact abelian groups. This paper is expository in the sense that it treats a number of mathematical theorems, their interconnections, their equivalence to one another. On the other hand, the proofs of the many...