Convergence sets of a formal power series

DOI10.1007/BF01418339zbMath0617.32001MaRDI QIDQ1821907

Robert E. Molzon, Norman Levenberg

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183742

zbMATH Keywords

convergence on linear spaces of positive capacityformal power series in n complex variablestheorem of Hartog

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05)

Related Items (10)

On convergence sets of formal power series ⋮ Real analyticity of a $C^{\infty }$-germ at the origin ⋮ Sequences of formal power series ⋮ A new plurisubharmonic capacity and functions holomorphic along holomorphic vector fields ⋮ Localization of Forelli's theorem ⋮ Holomorphic functions on subsets of \({\mathbb C}\) ⋮ Note on convergence and orders of vanishing along curves ⋮ Functions holomorphic along a \(C^1\) pencil of holomorphic discs ⋮ Pluripolar hulls and convergence sets ⋮ Restrictions of power series and functions to algebraic surfaces

Cites Work

• Sur le prolongement des courants positifs fermés
• On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on \(C^n\)
• Convergence sets of divergent power series.
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