On extension theorems for holomorphic generalized functions

DOI10.1080/10652460802568176zbMath1170.46038OpenAlexW2022599912MaRDI QIDQ3619819

Marcelo Reicher Soares

Publication date: 9 April 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802568176

zbMATH Keywords

extension theoremsholomorphic generalized functionsholomorphic on the boundary

Mathematics Subject Classification ID

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Algebras of holomorphic functions of several complex variables (32A38)

Cites Work

• On the \({\bar\partial}\)-Neumann problem for generalized functions
• Analytic continuation of generalized functions
• Intrinsic definition of the Colombeau algebra of generalized functions
• Some results for the \(\overline{\partial}\) operator on generalized differential forms
• Global representatives of Colombeau holomorphic generalized functions
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