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On conditions for the well-posed solvability of a factorization problem and a class of truncated Wiener—Hopf equations
Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 3, pp. 26-35 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper continues the study of the relationship between the convolution equation of the second kind on a finite interval $(0, \tau)$ (which is also called the truncated Wiener—Hopf equation) and a factorization problem (which is also called a vector Riemann—Hilbert boundary value problem or a vector Riemann boundary value problem). The factorization problem is associated with a family of truncated Wiener—Hopf equations depending on the parameter $\tau\in(0, \infty)$. The well-posed solvability of this family of equations is shown depending on the existence of a canonical factorization of some matrix function. In addition, various possible applications of the factorization problem and truncated Wiener—Hopf equations are considered.
Keywords: Wiener algebra, factorization problem, partial index, truncated Wiener—Hopf equation. 
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A. F. Voronin. On conditions for the well-posed solvability of a factorization problem and a class of truncated Wiener—Hopf equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 3, pp. 26-35. http://geodesic.mathdoc.fr/item/SJIM_2024_27_3_a2/

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