%0 Journal Article
%T The partial sum process of orthogonal expansion as geometric rough process with Fourier series as an example---an improvement of Menshov-Rademacher theorem
%A Danyu Yang
%A Terry J. Lyons
%J Mathematics
%D 2011
%I arXiv
%R 10.1016/j.jfa.2013.08.032
%X In this paper, we prove that the partial sum process of general orthogonal series is a geometric 2-rough process under the same condition as in Menshov-Rademacher Theorem. For Fourier series, the condition can be improved, and an equivalent condition on the limit function is identified.
%U http://arxiv.org/abs/1109.1072v2