The partial sum process of orthogonal expansions as geometric rough process with Fourier series as an example—An improvement of Menshov–Rademacher theorem
Author:
Funder
European Research Council
EPSRC
Publisher
Elsevier BV
Subject
Analysis
Reference27 articles.
1. Sur la divergence des series orthogonales;Banach;Studia Math.,1940
2. Logarithmic Sobolev inequalities and the existence of singular integrals;Beckner;Forum Math.,1997
3. On convergence and growth of partial sums of Fourier series;Carleson;Acta Math.,1966
4. Pointwise convergence of Fourier series;Fefferman;Ann. Math.,1973
5. Multidimensional Stochastic Processes as Rough Paths, Theory and Applications;Friz,2010
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1. Variational estimates for the bilinear iterated Fourier integral;Journal of Functional Analysis;2017-03
2. Recovering the pathwise Itô solution from averaged Stratonovich solutions;Electronic Communications in Probability;2016-01-01
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