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Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients
Authors:V. S. Pilidi
Affiliation:(1) Rostov State University, Rostov, USSR
Abstract:A criterion is obtained for the applicability of the approximation method based on strongly approximating operator families converging to a one-dimensional singular integral operator with coefficients continuous in the circle. Some special cases are considered. Translated fromMatematischeskie Zametki, Vol. 62, No. 3, pp. 430–439, September, 1997. Translated by A. M. Chebotarev
Keywords:singular integral operator  compact operator  approximation methods  strong convergence  trigonometrical polynomials
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