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Pluripolarity of graphs of Denjoy quasianalytic functions of several variables

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In this paper we prove pluripolarity of graphs of Denjoy quasianalytic functions of several variables on the spanning set

$$\begin{aligned} T^n = \left\{ z \in {\mathbb C}^n:|z_1|=|z_2|=\dots |z_n|=1\right\} . \end{aligned}$$

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Authors and Affiliations

  1. Department of Mathematics, Navoi State Pedagogical Institute, Navoi, 270100, Uzbekistan

    Sevdiyor A. Imomkulov

  2. Department of Mathematics, Urgench State University, Urgench, 220100, Uzbekistan

    Zafar Sh. Ibragimov

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  1. Sevdiyor A. Imomkulov
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  2. Zafar Sh. Ibragimov
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Correspondence to Zafar Sh. Ibragimov.

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Imomkulov, S.A., Ibragimov, Z.S. Pluripolarity of graphs of Denjoy quasianalytic functions of several variables. Anal.Math.Phys. 5, 161–170 (2015). https://doi.org/10.1007/s13324-014-0091-z

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  • DOI: https://doi.org/10.1007/s13324-014-0091-z

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