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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 609–617
DOI: https://doi.org/10.33048/semi.2019.16.039 (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
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DOI: https://doi.org/10.33048/semi.2019.16.039
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
Received February 26, 2019, published April 30, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.968
MSC: 45E10
Language: Russian
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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