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- W2989971633 abstract "This paper is devoted to multidimensional analogues of the Fabry and P˙olya theorems on lacunary series. Domains of convergence of lacunary Hartogs series and series in homogeneous polynomials are studied in this paper. Analogues of the Fabry and P˙olya theorems for such series are given and domains of convergence of these series are described. Results of the work develop well-known result of J. Siciak on the domain of convergence of the lacunary series with respect to homogeneous polynomials" @default.
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- W2989971633 date "2019-11-01" @default.
- W2989971633 modified "2023-10-16" @default.
- W2989971633 title "On Domains of Convergence of Multidimensional Lacunary Series" @default.
- W2989971633 doi "https://doi.org/10.17516/1997-1397-2019-12-6-736-746" @default.
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