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arxiv: 0704.2844 · v2 · submitted 2007-04-21 · 🧮 math.FA

Kahane-Khinchin type Averages

classification 🧮 math.FA
keywords kahane-khinchintypeanalysisapplicationarbitraryasymptoticaveragesball
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We prove a Kahane-Khinchin type result with a few random vectors, which are distributed independently with respect to an arbitrary log-concave probability measure on $\R^n$. This is an application of small ball estimate and Chernoff's method, that has been recently used in the context of Asymptotic Geometric Analysis in [1], [2].

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