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Polynomial Asymptotic Representation of Subharmonic Functions in a Half-Plane

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Abstract

Let u(z) be a subharmonic function in a half-plane such that its Riesz measure is concentrated on the finite system of rays.

In the paper the connection between the behavior of u(z) and the distribution of its measure (including boundary measure) is investigated in terms of polynomial asymptotic representations.

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Authors and Affiliations

  1. Mathematical Division, Institute for Low Temperature Physics, Lenin Ave. 47, 61164, Kharkov, Ukraine

    P. Agranovich

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  1. P. Agranovich
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Agranovich, P. Polynomial Asymptotic Representation of Subharmonic Functions in a Half-Plane. Mathematical Physics, Analysis and Geometry 3, 117–138 (2000). https://doi.org/10.1023/A:1009812828601

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  • DOI: https://doi.org/10.1023/A:1009812828601

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