Global representatives of Colombeau holomorphic generalized functions

DOI10.1007/s00605-006-0416-6zbMath1132.46031OpenAlexW2055603550MaRDI QIDQ2385077

Vincent S. Valmorin, Stevan Pilipović, Michael Oberguggenberger

Publication date: 11 October 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-006-0416-6

zbMATH Keywords

algebras of generalized functionselliptic equations with constant coefficientsgeneralized holomorphy

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (14)

Zeros of generalized holomorphic functions ⋮ Differential calculus and integration of generalized functions over membranes ⋮ Hyper-power series and generalized real analytic functions ⋮ Examples of new nonstandard hulls of topological vector spaces ⋮ Algebraic theory of Colombeau's generalized numbers ⋮ BOUNDED POLYNOMIALS AND HOLOMORPHIC MAPPINGS BETWEEN CONVEX SUBRINGS OF * ⋮ Some results on holomorphic generalized functions ⋮ An approach to generalized holomorphic functions ⋮ Harmonic generalized functions in generalized function algebras ⋮ On extension theorems for holomorphic generalized functions ⋮ Real analytic generalized functions ⋮ Hyperseries in the non-Archimedean ring of Colombeau generalized numbers ⋮ A nonlinear theory of generalized functions ⋮ Generalized hyperfunctions and algebra of megafunctions

Cites Work

• Unnamed Item
• Continuous selections. I
• Holomorphic generalized functions
• Analytic continuation of generalized functions
• Generalized hyperfunctions and algebra of megafunctions
• On Existence Theorems for the ∂¯ Operator on Generalized Differential Forms

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