scientific article

zbMath0441.60040MaRDI QIDQ3883230

Gilles Pisier

Publication date: 1980

Full work available at URL: http://www.numdam.org/item?id=SAF_1979-1980____A11_0

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zbMATH Keywords

central limit theoremsample continuitylaw of iterated logarithmapproximation numbersmetric entropyabsolutely convergent Fourier seriesp-summing operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Sample path properties (60G17) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Probability theory on linear topological spaces (60B11) Convergence of Fourier series and of inverse transforms (43A50)

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Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables ⋮ Maximal inequalities and some applications ⋮ Characteristic functionals of probabilistic measures in DS-groups and related topics ⋮ Some theorems related to almost sure convergence of orthogonal series ⋮ Some examples of application of the metric entropy method ⋮ On a contraction property of Bernoulli canonical processes

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