Fourier transform and Pseudo-Differential Operators

Subject	Functional analysis
Title	Fourier transform and Pseudo-Differential Operators
Author(s)	Baltabek Kanguzhin, Niyaz Tokmagambetov
Keywords	Fourier transform, pseudo-differential operator
Abstract	We consider the development of the Fourier analysis based on a boundary value problem for the derivative operator on a segment. In particular, we derive an explicit formula for the convolution generated by the problem. Starts an interesting direction of discrete analysis based on elliptic boundary value problems, continuing, in a sense, the analysis on the torus started by M. Ruzhansky and V. Turunen [1], in which case one may think of a problem having periodic boundary conditions.

Gellerstedt equation with integral perturbation of Cauchy condition

Subject	Problems involving operators with nonlocal boundary conditions
Title	Gellerstedt equation with integral perturbation of Cauchy condition
Author(s)	Makhmud Sadybekov, Niyaz Tokmagambetov
Keywords	Gellerstedt operator
Abstract	For a degenerate hyperbolic equation of the first kind in the characteristic triangle proved well-posedness of the problem with integral conditions perturbation of Cauchy problem on the degenerate line.