F. N. Garif’yanov

TL;DR: In this article, the authors examine the properties of the Carleman kernel and present some applications to the theory of entire functions and difference operators, and apply them to the problem of function analysis.

TL;DR: In this paper, the four-element linear functional equation is studied in the class of functions analytic beyond an isosceles trapezoid and vanishing at infinity, where a system of entire functions is constructed of completely regular growth biorthogonal with a piecewise exponential weight to the system of powers on the coordinate axis.

TL;DR: In this article, the authors consider a set of squares constructed for the primitive periods 1 and i and sufficiently distant from each other, and study a four-element difference equation with constant coefficients whose linear stifts are generators of the corresponding doubly periodic group and their inverses.

TL;DR: In this paper, the authors considered linear equations for analytic functions in the plane with cuts along a "half" of the boundary of a hexagon and proposed a regularization method, reducing them to an equation with difference kernel.