Geodesic
The Wiener--Hopf equation in measures with probability kernel
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 609-617

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SEMR_2019_16_a133,
     author = {M. S. Sgibnev},
     title = {The {Wiener--Hopf} equation in measures with probability kernel},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {609--617},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a133/}
}
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M. S. Sgibnev. The Wiener--Hopf equation in measures with probability kernel. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 609-617. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a133/