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ASYMPTOTIC BEHAVIOR OF THE SOLUTION TO THE WIENER–HOPF EQUATION IN MEASURES

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Abstract

We consider a new equation of Wiener–Hopf type, where the kernel of the equation is a probability distribution, the inhomogeneous term is a measure and the solution of the equation is also a measure. We investigate the asymptotic behavior of the solution on Borel sets.

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Correspondence to M. S. Sgibnev.

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The work was carried out within the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF-2022-0004).

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Sgibnev, M.S. ASYMPTOTIC BEHAVIOR OF THE SOLUTION TO THE WIENER–HOPF EQUATION IN MEASURES. J Math Sci (2024). https://doi.org/10.1007/s10958-024-07012-4

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  • DOI: https://doi.org/10.1007/s10958-024-07012-4

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