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Results tagged with fourier-analysis
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user 10457
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.
2
votes
Steinhaus theorem and Hausdorff dimension
Lemma 2.7 of [1] says that if $A$ is a compact subset of a separable compact abelian group $G$ with Haar measure 0, then there is a compact set $B\subset G$ with positive Haar measure such that $A+B$ …
- 929
21
votes
Accepted
Furstenberg's Conjecture on 2-3-invariant continuous probability measures on the circle
Manfred Einsiedler and Alexander Fish have a paper (arxiv.org/abs/0804.3586) showing that a multiplicative subsemigroup of $\mathbb N$ which is not too sparse satisfies the desired measure classificat …
- 929