The explicit characterization of coefficients of a.e. convergent orthogonal series

DOI10.1016/J.CRMA.2009.07.012zbMath1177.42022OpenAlexW2036948115MaRDI QIDQ1032857

Adam Paszkiewicz

Publication date: 5 November 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.07.012

zbMATH Keywords

orthonormal systemsmajorizing measurealmost everywhere convergence of orthogonal seriesconvergence in \(L_{2}\)-space

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and divergence of series and sequences of functions (40A30) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (4)

Some applications of the Menshov-Rademacher theorem ⋮ Majorizing measures on metric spaces ⋮ The complete characterization of a.s. convergence of orthogonal series ⋮ On the convergence of orthogonal series

Cites Work

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• A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures
• Sample boundedness of stochastic processes under increment conditions
• Some theorems related to almost sure convergence of orthogonal series

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