In this paper, we study the homogeneous vector Riemann boundary value problem (the factorization problem) from a new point of view. Namely, we reduce the Riemann problem to the truncated Wiener–Hopf equation (a convolution equation in a finite interval). We establish a connection between the problem of the factorization of a matrix function in the Wiener algebra of order two and the truncated Wiener–Hopf equation and obtain an explicit formula for this relationship. Note that the form of the matrix function considered in this paper differs from its most general form in the Wiener algebra; however, in this case, this is inessential. The truncated Wiener–Hopf equation is one of the most thoroughly studied Fredholm integral equations of the second kind. Therefore, the idea of the mentioned reduction can be expected to lead to new results in studying the factorization problem.

在本文中，我们从新的角度研究了齐次矢量黎曼边值问题（分解问题）。即，我们将Riemann问题简化为截断的Wiener-Hopf方程（有限间隔内的卷积方程）。我们在二阶维纳代数中矩阵函数的因式分解问题和截短的维纳-霍普夫方程之间建立了联系，并为此关系获得了一个明确的公式。请注意，本文考虑的矩阵函数形式与维纳代数中最一般的形式有所不同。但是，在这种情况下，这是不必要的。截断的Wiener-Hopf方程是第二种研究最深入的Fredholm积分方程之一。因此，