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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2018 Volume 15, Pages 412–421 (Mi semr928)

This article is cited in 4 papers

Real, complex and functional analysis

On the connection between the generalized Riemann boundary value problem and the truncated Wiener–Hopf equation

A. F. Voronin

Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia

Abstract: In this paper we an equivalen find a connection between the generalized Riemann boundary value problem (also known under the name of the Markushevich boundary problem or the ${\mathbb R}$-linear problem) and convolution equation of the second kind on a finite interval.

Keywords: ${\mathbb R}$-linear problem, problem of Markushevich, Riemann boundary value problems, factorization of matrix functions, factorization indices, stability, unique, convolution equation.

UDC: 517.544

MSC: 47A68

Received March 4, 2018, published April 23, 2018

DOI: 10.17377/semi.2018.15.037



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