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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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Decoupling lemma for the Lambda(p) problem

As for the second part, the following works. The goal, inequality (3.4), can be written as $\newcommand{\E}{\mathbb E}$ $$ |\E[\phi_1(X)\phi_2(Y)\phi_3(Z)]-\phi_1(\E X)\phi_2(\E Y)\phi_3(\E Z)| \le C( …
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