The partial sum process of orthogonal expansions as geometric rough process with Fourier series as an example—An improvement of Menshov–Rademacher theorem

Terry Lyons, Danyu Yang

Type: Article

Publication Date: 2013-09-20

Citations: 5

DOI: https://doi.org/10.1016/j.jfa.2013.08.032

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arXiv (Cornell University) - View - PDF
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Journal of Functional Analysis - View

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Works That Cite This (4)

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+	Variational estimates for the bilinear iterated Fourier integral	2016	Yen Do Camil Muscalu Christoph Thiele
+	Variational estimates for the bilinear iterated Fourier integral	2016	Yen Do Camil Muscalu Christoph Thiele
+	On Ito differential equation in rough path theory	2013	Terry J. LyonsDanyu Yang
+	Rough paths, Signatures and the modelling of functions on streams	2014	Terry Lyons

Works Cited by This (20)

Action	Title	Year	Authors
+ PDF Chat	Sur la divergence des séries orthogonales	1940	S. Banach
+ PDF Chat	Variation inequalities for the Fejér and Poisson kernels	2004	R. W. L. Jones Gang Wang
+ PDF Chat	Sur les séries de fonctions orthogonales	1927	D. Menchoff
+ PDF Chat	Conditional Exponential Moments for Iterated Wiener Integrals	1999	Terry Lyons Ofer Zeitouni
+	Introduction to Tensor Products of Banach Spaces	2002	Raymond A. Ryan
+ PDF Chat	Stochastic area for Brownian motion on the Sierpinski gasket	1998	Ben Hambly Terry Lyons
+	On the Convergence of Fourier Series	1935	J. Marcinkiewicz
+ PDF Chat	A variation norm Carleson theorem	2012	Richard Oberlin Andreas Seeger Terence Tao Christoph Thiele James Wright
+	Einige S�tze �ber Reihen von allgemeinen Orthogonalfunktionen	1922	Hans Rademacher
+ PDF Chat	The $p$-variation of partial sum processes and the empirical process	1998	Jinghua Qian