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A rearrangement formula for a singular Cauchy-Szegö integral in a ball from ℂn

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Abstract

We obtain an analog of the Poincaré-Bertrand formula for a singular Cauchy-Szegö integral in a multidimensional ball. We understand the principal value of the integral in the Cauchy sense. The obtained formula differs from that of Poincaré-Bertrand for the Cauchy integral in a complex plane.

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Authors and Affiliations

  1. Institute of Space and Information Technologies, Siberian Federal University, ul. Kirenskogo 26, Krasnoyarsk, 660074, Russia

    A. S. Katsunova

  2. Siberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russia

    A. M. Kytmanov

Authors
  1. A. S. Katsunova
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  2. A. M. Kytmanov
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Correspondence to A. S. Katsunova.

Additional information

Original Russian Text © A.S. Katsunova and A.M. Kytmanov, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 4, pp. 24–32.

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Katsunova, A.S., Kytmanov, A.M. A rearrangement formula for a singular Cauchy-Szegö integral in a ball from ℂn . Russ Math. 56, 19–26 (2012). https://doi.org/10.3103/S1066369X12040032

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  • DOI: https://doi.org/10.3103/S1066369X12040032

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