Generalized functions and non-standard analysis

DOI10.1007/BF01305967zbMath0902.46020MaRDI QIDQ674560

Antoine Delcroix

Publication date: 4 May 1997

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

Full work available at URL: https://eudml.org/doc/178765

zbMATH Keywords

non-standard analysisalgebraic theories of generalized functionsColombeau' algebranon-standard asymptotic properties

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Distributions, generalized functions, distribution spaces (46F99) Singular perturbations for ordinary differential equations (34E15) Nonstandard models in mathematics (03H05) Non-Archimedean function theory (30G06) Nonstandard functional analysis (46S20) Nonstandard measure theory (28E05) Dynamical systems and ergodic theory (37-XX) Nonstandard analysis (26E35)

Related Items

On a class of algebras of generalized functions. Application to differential systems

Cites Work

• Chasse au canard
• A Nonstandard Delta Function
• Internal set theory: A new approach to nonstandard analysis
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