On the Convergence and Summability of Fourier Series

In my talk I will discuss:Exponential uniform approximation of Marcinkiewicz type of two-dimensional Walsh-Fourier series. Exponential uniform approximation of rectangular partial sums of two-dimensional Walsh-Fourier series. The boundedness of maximal operators of triangular partial sums of two-dimensional Walsh-Fourier series. Characterization the set of convergence of the Marcinkiewicz-Fejer means of two-dimensional Walsh-Fourier series. Convergence in measure of logarithmic means of quadratical partial sums of two-dimensional Fourier series with respect to Kaczmarz system. Convergence of Fourier series in the class of generalized bounded variation.