On $$\mathbb {R}$$-Linear Problem and Truncated Wiener–Hopf Equation

Abstract

We consider the $$\mathbb {R}$$-linear problem (also known as the Markushevich problem and the generalized Riemann boundary value problem) and the convolution integral equation of the second kind on a finite interval (also known as the truncated Wiener–Hopf equation). We find new conditions for correct solvability of the $$\mathbb {R} $$-linear problem and the truncated Wiener–Hopf equation.