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Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients

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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.

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Authors and Affiliations

  1. Rostov State University, Rostov, USSR

    V. S. Pilidi

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  1. V. S. Pilidi
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Additional information

Translated fromMatematischeskie Zametki, Vol. 62, No. 3, pp. 430–439, September, 1997.

Translated by A. M. Chebotarev

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Pilidi, V.S. Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients. Math Notes 62, 360–367 (1997). https://doi.org/10.1007/BF02360878

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  • DOI: https://doi.org/10.1007/BF02360878

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