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Higher order Fourier analysis
Traditionally, Fourier analysis has been focused the analysis of func-
tions in terms of linear phase functions such as the sequence n !
e(n) = e2in. In recent years, though, applications have arisen
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Fourier级数一致收敛性的几个证明
基于Fourier级数的逐点收敛性已经有很全面的研究,如Dini判别法、Lipschitz判别法、Dirichlet-Jordan判别法
等,而关于Fourier级数的一致收敛性在文献中很少提及,本文将讨论Fourier级数的一致收敛性的几个判别方法。
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Fractional discreteq -Fourier transforms
The discrete Fourier transform (DFT) matrix has a manifold of
fractionalizations that depend on the choice of its eigenbases. One prominent
basis is that of Mehta functions; here we examine a family of fractionalizations
of the DFT stemming from q- ...
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