J. Bourgain, B. S. Kashin, “On the Uniform Approximation of the Partial Sum of the Dirichlet Series by a Shorter Sum”, Mat. Zametki, 2010, Volume 87, Issue 2,Pages <nobr>309

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Brief Communications

On the Uniform Approximation of the Partial Sum of the Dirichlet Series by a Shorter Sum

J. Bourgain^a, B. S. Kashin^b

^a Institute for Advanced Study, School of Mathematics
^b Steklov Mathematical Institute, Russian Academy of Sciences

Keywords: Dirichlet series, uniform approximation, theory of widths, trigonometric subspace in $\mathbb R^N$, Euclidean ball.

Received: 30.10.2009

DOI: 10.4213/mzm8593