A general monotonicity concept and its applications in harmonic analysis and approximation theory

Series
Analysis Seminar
Time
Monday, December 1, 2008 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 255
Speaker
Sergey Tikhonov – ICREA and CRM, Barcelona
Organizer
Michael Lacey
In this talk we will discuss a generalization of monotone sequences/functions as well as of those of bounded variation. Some applications to various problems of analysis (the Lp-convergence of trigonometric series, the Boas-type problem for the Fourier transforms, the Jackson and Bernstein inequalities in approximation, etc.) will be considered.