Seminars: P. A. Borodin, Cross approximation of functions of two variables.

SEMINARS


Seminar on Theory of Functions of Real Variables December 13, 2024 18:30, Moscow, MSU main building, room 14-03, Yandex Telemost

Cross approximation of functions of two variables. P. A. Borodin^abc ^a Moscow Center for Fundamental and Applied Mathematics ^b Laboratory "Multidimensional Approximation and Applications", Lomonosov Moscow State University, Moscow ^c Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract: The talk is devoted to approximation of a given function $f(x,y)$ by linear combinations of its crosses $f(a,y)f(x,b)$. We present two new conditions on $f$ sufficient for the partial convergence of its max-cross approximations. We also plan to give an example of a function which cannot be approximated uniformly by linear combinations of its crosses. Joint work with Yu. A. Skvortsov.