Seminars
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Calendar
Search
Add a seminar

RSS
Forthcoming seminars




Steklov Mathematical Institute Seminar
October 15, 2009 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Multiplicative inequalities for the integral norm and problems of almost everywhere convergence of Fourier series

S. V. Bochkarev
Video records:
Real Video 224.8 Mb
Windows Media 235.2 Mb
Flash Video 323.1 Mb
MP4 341.4 Mb

Number of views:
This page:780
Video files:305
Youtube:

S. V. Bochkarev
Photo Gallery




Abstract: New results in the Littlewood-Paley theory are established and the method of obtaining sharp multiplicative inequalities for the integral norm of trigonometric and power series which permits to take into account both density and number-theoretic and combinatorial properties of spectrum is eleborated. The method is applied to series with spectra of power density including quadratic spectrum. The fundamental Kolmogorov's theorem is generalized to arbitrary bounded biorthogonal systems that are defined on a measurable space. Sharp lower estimates at the point and on the set of positive measure for arithmetical means from the symmetrized Lebesgue functions of biorthogonal systems are found. New results on the problem of convergence and unconditional convergence almost everywhere of Fourier series with respect to the Walsh system and multiplicative systems are obtained.
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024