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On the Szegö and Poisson Kernels in the Convex Domains in ℂn

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Abstract

We construct the Szegö and Poisson kernel in the convex domains in ℂn and study their properties.

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References

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Acknowledgments

Supported by a grant 14.Y26.31.0006 of the Government of the Russian Federation for the support of scientific schools under the guidance of a leading scientist at the Siberian Federal University.

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Authors and Affiliations

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

    S. G. Myslivets

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  1. S. G. Myslivets
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Correspondence to S. G. Myslivets.

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Russian Text © S.G. Myslivets, 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 1, pp. 42–48.

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Myslivets, S.G. On the Szegö and Poisson Kernels in the Convex Domains in ℂn. Russ Math. 63, 35–41 (2019). https://doi.org/10.3103/S1066369X19010043

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  • DOI: https://doi.org/10.3103/S1066369X19010043

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