Extension of holomorphic and pluriharmonic functions with thin singularities on parallel sections

DOI10.1134/S0081543806020131zbMath1351.32018OpenAlexW2067562823MaRDI QIDQ2342227

Yanyan Li

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543806020131

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic functions of several complex variables (32A10)

Related Items (5)

Removable Singularities of Separately Harmonic Functions ⋮ Extensions of analytic and pluriharmonic functions in given directions by the Chirka method: a survey ⋮ Holomorphic continuation of functions along a fixed direction (survey) ⋮ On Shimoda's Theorem ⋮ The class $R$ and finely analytic functions

Cites Work

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• A new capacity for plurisubharmonic functions
• Open sets of harmonicity for separately harmonic functions
• Ein neuer Beweis des Hartogsschen Hauptsatzes und seine Ausdehnung auf meromorphe Funktionen
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• On analytic continuation from the "edge of the wedge"
• Bases communes dans certains espaces de fonctions harmoniques et fonctions séparément harmoniques sur certains ensembles de ${\bf C}^n$
• Separately analytic functions and envelopes of holomorphy of some lower dimensional subsets of $C^n$
• On holomorphic continuation of functions defined on a pencil of boundary complex lines
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