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Sib. Èlektron. Mat. Izv., 2019, Volume 16, Pages 609–617 (Mi semr1081)  

Real, complex and functional analysis

The Wiener–Hopf equation in measures with probability kernel

M. S. Sgibnev

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia

Abstract: The paper deals with a generalization of the classical Wiener–Hopf equation where the functions involved are replaced by measures. A solution in explicit form is given, which coincides with the solution found by the method of successive approximations. An asymptotic property of the solution is also established.

Keywords: integral equation, measure, Wiener–Hopf equation, probability distribution, asymptotic behavior.

Funding Agency Grant Number
Siberian Branch of Russian Academy of Sciences I.1.2, проект № 0314-2016-0005


DOI: https://doi.org/10.33048/semi.2019.16.039

Full text: PDF file (162 kB)
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Bibliographic databases:

UDC: 517.968
MSC: 45E10
Received February 26, 2019, published April 30, 2019

Citation: M. S. Sgibnev, “The Wiener–Hopf equation in measures with probability kernel”, Sib. Èlektron. Mat. Izv., 16 (2019), 609–617

Citation in format AMSBIB
\Bibitem{Sgi19}
\by M.~S.~Sgibnev
\paper The Wiener--Hopf equation in measures with probability kernel
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 609--617
\mathnet{http://mi.mathnet.ru/semr1081}
\crossref{https://doi.org/10.33048/semi.2019.16.039}


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