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Results tagged with fa.functional-analysis
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user 27698
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Sub-exponential tail implies Poincare inequality
Assume we have a probability measure $\mu$ on $\mathbb R^n$. Assume it satisfies
$$
\mu(||x|| > u) \le Ce^{-au} \ \ \forall u > 0
$$
In other words, its tail is dominated by an exponential function.
T …
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