It is found the spectrum of a singular integral operator on the compound contour with elliptic function in the kernel. Explicit solution of the corresponding singular integral equation is constructed by applying its reduction to the boundary value problem on the Riemann surface.

中文翻译：

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核函数椭圆积分方程的显式解。

在核中发现具有椭圆函数的复合轮廓上的奇异积分算子的谱。通过将奇异积分方程的约简应用于Riemann曲面上的边值问题，构造相应奇异积分方程的显式解。