The complete characterization of a.s. convergence of orthogonal series

DOI10.1214/11-AOP712zbMath1329.60062arXiv1303.4547MaRDI QIDQ1951699

Witold Bednorz

Publication date: 24 May 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4547

zbMATH Keywords

orthogonal seriesalmost sure convergencemajorizing measuressample path properties

Mathematics Subject Classification ID

Strong limit theorems (60F15) General theory of stochastic processes (60G07) Sample path properties (60G17)

Related Items (1)

Some applications of the Menshov-Rademacher theorem

Cites Work

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• Regularity of Gaussian processes
• Majorizing measures on metric spaces
• A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures
• A theorem on majorizing measures
• Sample boundedness of stochastic processes under increment conditions
• The explicit characterization of coefficients of a.e. convergent orthogonal series
• The Supremum of Some Canonical Processes
• The Generic Chaining
• An improved Menshov-Rademacher theorem

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