Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients |
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Authors: | V. S. Pilidi |
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Affiliation: | (1) Rostov State University, Rostov, USSR |
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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 |
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Keywords: | singular integral operator compact operator approximation methods strong convergence trigonometrical polynomials |
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