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The Wiener-Hopf equation in measures with probability kernel [УРАВНЕНИЕ ВИНЕРА-ХОПФА В МЕРАХ С ВЕРОЯТНОСТНЫМ ЯДРОМ] Full article

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Output data Year: 2019, Volume: 16, Pages: 609-617 Pages count : 9 DOI: 10.33048/semi.2019.16.039
Tags Asymptotic behavior; Integral equation; Measure; Probability distribution; Wiener-Hopf equation
Authors Sgibnev M.S. 1
Affiliations
1 Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russian Federation

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. © 2019, Sobolev Institute of Mathematics.
Cite: Sgibnev M.S.
The Wiener-Hopf equation in measures with probability kernel [УРАВНЕНИЕ ВИНЕРА-ХОПФА В МЕРАХ С ВЕРОЯТНОСТНЫМ ЯДРОМ]
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.16. P.609-617. DOI: 10.33048/semi.2019.16.039 WOS Scopus OpenAlex
Identifiers:
Web of science: WOS:000467218300002
Scopus: 2-s2.0-85071166490
OpenAlex: W3015982994
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