Abstract: The paper studies the relationship between the equation in,convolutions of the second kind on a finite interval (which is also called,the truncated Wiener-Hopf equation) and the factorization problem,(which is also called the Riemann-Hilbert boundary value problem or,the Riemann boundary value problem). In our works published in 2020-,2021 (Izv. vuz.), a new approach (method) was proposed to solve the,Riemann boundary value problem in the Wiener algebra of order 2. The,method is to reduce the Riemann problem to the truncated Wiener-,Hopf equation. In this paper, the method is being developed. Here,,in the factorization problem, a matrix-function of a sufficiently general,form with an arbitrary total index is studied, more general formulas for,the relationship between the solutions of the factorization problem and,the corresponding truncated Wiener-Hopf equation are also found. In,addition, new results are obtained in the theory of equations in convolutions,based on the revealed relationship between the problems under,consideration © 2021 Voronin A.F

Cite: Voronin A.F.
SOME QUESTIONS ON THE RELATIONSHIP OF THE FACTORIZATION PROBLEM OF MATRIX FUNCTIONS AND THE TRUNCATED WIENER-HOPF EQUATION IN THE WIENER ALGEBRA
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.1615-1624. DOI: 10.33048/SEMI.2021.18.119 Scopus OpenAlex

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Scopus:	2-s2.0-85124126697
OpenAlex:	W4205622785

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