Martin Grigoryan (Yerevan)

Modifications of functions, Fourier coefficients and greedy algorithms

In this talk some new results in nonlinear approximation will be presented - namely, on the convergence of greedy algorithms, and the behaviour of Fourier coefficients with respect to the classical systems (trigonometric, Walsh, Haar, Shauder, Franklin, Vilenkin etc.) from the viewpoint of the well-known classical theorems on "correction" of functions.