On sets of large Fourier transform under changes in domain

Applied and Computational Harmonic Analysis(2018)

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摘要
A function f:Zn→C can be represented as a linear combination f(x)=∑α∈Znfˆ(α)χα,n(x) where fˆ is the (discrete) Fourier transform of f. Clearly, the basis {χα,n(x):=exp⁡(2πiαx/n)} depends on the value n.
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