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 ...
Fourier analysis on groups - Rudin Walter.pdf 热度: Fourier analysis on groups - Rudin Walter 热度: FOURIER ANALYSIS ON GROUPS(RUDIN) 热度: 相关推荐 Fourier analysis on groups - Rudin, Walter.pdf,Fourier analysis on groups - Rudin, Walter.pdfon,R,Ru,Rudin,pdf,Non,on,R,Ru,Rudin,pdf...
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Fourier Analysis on Groups (Rudin/Fourier) || Fourier Analysis on Ordered Groupsordered groupsgeometric meansfactorization theoremsinvariant subspacesgap theoremdoi:10.1002/9781118165621.ch8RudinWalter
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...
对于一般的情形,读者可以参考Fourier Analysis on Groups by W. Rudin。 (4)f∗∗(x)=∫Γnf∗(σ)σ(x−1)dσ=∫Γnσ(x−1)dσ∫Ωnf(g)σ(g−1)dg=∫Ωnf(g)dg∫Γnσ(x−1g−1)dσ 记D(t)=∫Γnσ(t)dσ ,其中 t∈Ωn 。一旦我们证明了 D(t)={1t=10otherwise...
[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. ...
W. RUDIN, Trigonometric series with gaps, J. Math. Mech, 9 (1960), 203–227. MathSciNet MATH Google Scholar ———, Fourier Analysis on Groups, New York, Interscience, 1962. MATH Google Scholar R. SALEM and A. ZYGMUND, Some properties of trigonometric series whose terras have random...
theory, and via abstract harmonic analysis, using locally compact abelian (LCA) groups. In the first of these generalizations, sampling itself is placed in the more general context of reproducing kernel Hilbert spaces of functions defined on an abstract set. In the second, the real line \mathbb...
Fourier Analysis on Groups, Interscience, New York (1962) Google Scholar [16] W. Rudin Spaces of type H∞+C Ann. Inst. Fourier (Grenoble), 25 (1) (1975), pp. 99-125 CrossrefGoogle Scholar [17] V. Runde Lectures on Amenability Lecture Notes in Mathematics, Vol. 1174, Springer, Berl...