Kerekesha D. Kerekesha Denys. The method of conjugation analytical functions in the theory of integral-differential equations with almost difference kernels

In the thesis the known methods are advanced and the new mathematical methods are developed for a solution of boundary value problems of the theory of analytical functions which have allowed to expand a class of the integral equations of type convolution with variable factors which could be solved effectively with help of Fourier transformation in quadratures. Depending on structure of variable coefficients the investigated integral equations is reduced by Fourier transformation to boundary value problems of the theory of analytical functions accordingly: to problem Riemann on a real axis, to problem Carleman for band, to problem Carleman for plane.