An equation containing a finite sum of singular integral operators with non-Carleman shifts is considered. The unique solvability of this equation in the Hölder classes under certain constraints imposed on the coefficients is proved. It is shown that the solution can be written in quadratures.

中文翻译：

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与非卡尔曼频移的有限个奇异积分算子之和对应的符号的因式分解

考虑一个方程，该方程包含具有非卡尔曼位移的奇异积分算子的有限和。证明了该方程在某些系数约束下在Hölder类中的唯一可解性。结果表明，该解决方案可以用正交表示。