M. S. Sgibnev, “On the uniqueness of the solution to the Wiener–Hopf equation with probability kernel”, Sib. Èlektron. Mat. Izv., 2021, Volume 18, Issue 2,Pages <nobr>1146

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

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.

UDC: 517.968, 519.218.4

MSC: 45E10, 60K05

Received August 14, 2021, published October 26, 2021

Language: English

DOI: 10.33048/semi.2021.18.086