Abstract |
A set of integers is called Sidon if any continuous function on the unit
circle with spectrum in the set has an absolutely convergent Fourier
series. We will recall some of the classical theory of Sidon sets of
integers, or more generally of characters on compact groups (Abelian or
not). We will then give several recent extensions to Sidon sets, randomly
Sidon sets and subgaussian sequences in bounded orthonormal systems,
following recent work by Bourgain and Lewko, and by the author, both
currently available on arxiv.
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