Some results on holomorphic generalized functions

DOI10.1080/10652469.2010.541036zbMath1222.33019OpenAlexW2076821307MaRDI QIDQ3015094

Jorge Aragona

Publication date: 8 July 2011

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

Full work available at URL: https://doi.org/10.1080/10652469.2010.541036

zbMATH Keywords

generalized functionsholomorphic generalized functions

Mathematics Subject Classification ID

Spherical harmonics (33C55) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Other special functions (33E99) Integral transforms, operational calculus (44A99)

Cites Work

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• Zeros of generalized holomorphic functions
• Real analytic 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
• Group invariant Colombeau generalized functions
• Removable singularities of solutions of linear partial differential equations
• On Existence Theorems for the ∂¯ Operator on Generalized Differential Forms
• On removable singularities of locally solvable differential operators

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