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Cauchy-type LG* integral

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Abstract

We examine a Cauchy-type LG* integral. We give the characteristics of the class of functions representable by such an integral and prove that this class coincides with the class of functions representable by the Cauchy LG* integral [3].

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Literature cited

  1. I. I. Privalov, Boundary Properties of Analytic Functions [in Russian], Gostekhizdat, Moscow (1950).

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  2. P. L. Ul'yanov, “On the Cauchy A integral,” Usp. Mat. Nauk,11, No. 5, 223–229 (1956).

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  3. I. A. Vinogradova, “Generalized integral and conjugate functions,” Mat. Sb.,99, No. 1, 84–120 (1976).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    I. A. Vinogradova

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  1. I. A. Vinogradova
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Translated from Matematicheskie Zametki, Vol. 20, No. 5, pp. 645–653, November, 1976.

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Vinogradova, I.A. Cauchy-type LG* integral. Mathematical Notes of the Academy of Sciences of the USSR 20, 922–927 (1976). https://doi.org/10.1007/BF01146911

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  • DOI: https://doi.org/10.1007/BF01146911

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