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The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Fourier transforms or as Fourier integrals.

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$L^p$-norm of Fourier series in terms of coefficients, $p \neq 2$

The answer is "not really, except in the sense that Carlo Beenaker has mentioned". I suggest you look at the discussion of the Hausdorff–Young inequality in Chapter IV Section 2 of Katznelson's Intro …
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