Singular integral operators along a complex contour
Matematičeskie zametki, Tome 21 (1977) no. 3, pp. 409-414
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Some sufficient conditions under which a singular operator with bounded measurable coefficients is a $\Phi$-operator in the space $L_2(\Gamma)$ are established. If the contour of integration is a closed Lyapunov contour, then these conditions coincide with the well-known conditions of Simonenko and are also necessary for the operator under consideration to be Noetherian.