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.
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Funding
The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (Project No. 0314-2019-0011).
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Voronin, A.F. On \(\mathbb {R}\)-Linear Problem and Truncated Wiener–Hopf Equation. Sib. Adv. Math. 30, 143–151 (2020). https://doi.org/10.3103/S1055134420020066
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DOI: https://doi.org/10.3103/S1055134420020066