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Fourier and Harmonic Analysis

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Explanations 2

A geometric version of the circle method Are Fourier Analysis and Harmonic Analysis the same subject?
By Victor Wang
Riemann-Roch over arbitrary fields See MO: Is there a Riemann-Roch for smooth projective curves over an arbitrary field? or a book on function fields, like Stichtenoth, Algebrai…
By Victor Wang, Victor Wang

Problems 1

What can you say about the Fourier coefficients f^(n)\hat{f}(n)f^(n) of a periodic Lipschitz function, f ⁣:R→Cf\colon \mathbb{R}\to\mathbb{C}f:R→C? Give the best answer.