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On uniform invertibility of strong approximations of one-dimensional singular integral operators with piecewise continuous coefficients on the real line. (Russian) Zbl 0735.45002

The author finds conditions for the uniform invertibility of strong approximations of a one-dimensional singular integral operator on the real line. Details of the proof are omitted.

MSC:

45E05 Integral equations with kernels of Cauchy type
45P05 Integral operators
47A10 Spectrum, resolvent
45L05 Theoretical approximation of solutions to integral equations
47G10 Integral operators
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