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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1146–1152
DOI: https://doi.org/10.33048/semi.2021.18.086 (Mi semr1427) 		 
Real, complex and functional analysis

On the uniqueness of the solution to the Wiener–Hopf equation 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.2021.18.086
Abstract: We study the problem of uniqueness for a solution to the inhomogeneous generalized Wiener–Hopf equation whose kernel is a probability distribution with finite positive mean.
Keywords: integral equation, inhomogeneous equation, Wiener–Hopf equation, probability distribution, positive mean.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0005
The work was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (Project No. 0314-2019-0005).
Received August 14, 2021, published October 26, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.968, 519.218.4
MSC: 45E10, 60K05
Language: English
Citation: M. S. Sgibnev, “On the uniqueness of the solution to the Wiener–Hopf equation with probability kernel”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1146–1152
Citation in format AMSBIB
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\by M.~S.~Sgibnev
\paper On the uniqueness of the solution to the Wiener--Hopf equation with probability kernel
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1146--1152
\mathnet{http://mi.mathnet.ru/semr1427}
\crossref{https://doi.org/10.33048/semi.2021.18.086}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000734395000006}
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