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On Domains of Convergence of Multidimensional Lacunary Series

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Publication:5853448
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DOI10.17516/1997-1397-2019-12-6-736-746OpenAlexW2989971633MaRDI QIDQ5853448

Taxir T. Tuychiev

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu809


zbMATH Keywords

singular pointpower seriesplurisubharmonic functionlacunar Hartogs seriesnegligible sets in \(\mathbb{C}^n\)series in homogeneous polynomials


Mathematics Subject Classification ID

Harmonic analysis on Euclidean spaces (42-XX) Functions of a complex variable (30-XX)


Related Items (1)

Holomorphic continuation of functions along a fixed direction (survey)




Cites Work

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  • Separately analytic functions
  • Some gap power series in multidimensional setting




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