CRITERIA FOR UNIFORM INVERTIBILITY OF REGULAR APPROXIMATIONS OF ONE-DIMENSIONAL SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS
Vladimir Stavrovich Pilidi · Mathematics of the USSR-Izvestiya · 1991
Criteria are obtained for applicability of approximation methods to a one-dimensional singular integral operator with piecewise continuous coefficients. These methods use families of strongly approximating operators with "cut out" singularity of the Cauchy kernel.