RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 Forthcoming seminars Seminar calendar List of seminars Archive by years Register a seminar Search RSS Forthcoming seminars

You may need the following programs to see the files

Steklov Mathematical Institute Seminar
October 16, 2003, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)

On various forms of convergence of trigonometric series

P. L. Ul'yanov

Abstract: A short survey was given of some results on the convergence of trigonometric Fourier series (S. N. Bernstein, E. Fredholm, O. Szász, S. B. Stechkin, P. L. Ul'yanov and others). In the case of uniform convergence of trigonometric series and their conjugate series, a best-possible condition was given in terms of the moduli of continuity in the metric of $L_p(0,2\pi)$ with $p\in(1,\infty]$, of a type quite different from the well-known Dini–Lipschitz condition.