Pilidi, V. S. On uniform invertibility of strong approximations of one-dimensional singular integral operators with piecewise continuous coefficients on the real line. (Russian) Zbl 0735.45002 Izv. Sev.-Kavk. Nauchn. Tsentra Vyssh. Shk., Estestv. Nauki 1990, No. 3(71), 44-46 (1990). 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. Reviewer: J.Bustamante González (Ciudao de La Habana) 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 Keywords:piecewise continuous coefficients; uniform invertibility; strong approximations; one-dimensional singular integral operator PDFBibTeX XMLCite \textit{V. S. Pilidi}, Izv. Sev.-Kavk. Nauchn. Tsentra Vyssh. Shk., Estestv. Nauki 1990, No. 3(71), 44--46 (1990; Zbl 0735.45002)