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Some properties of analytic in a disk functions with applications to the study of the behavior of singular integrals

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Abstract

We obtain representations for an analytic in a disc function such that its real part has a zero of an integer order at a fixed boundary point. We consider certain applications of these representations for studying properties of singular integrals with Hilbert kernel.

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Authors and Affiliations

  1. Kazan State University of Architecture and Engineering, ul. Zelyonaya 1, Kazan, 420043, Russia

    R. B. Salimov

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  1. R. B. Salimov
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Original Russian Text © R.B. Salimov, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 3, pp. 42–50.

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Salimov, R.B. Some properties of analytic in a disk functions with applications to the study of the behavior of singular integrals. Russ Math. 56, 36–44 (2012). https://doi.org/10.3103/S1066369X12030061

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  • DOI: https://doi.org/10.3103/S1066369X12030061

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