Characterization of distributions having a value at a point in the sense of Robinson

DOI10.1016/j.jmaa.2012.06.023zbMath1276.46032arXiv1201.2952OpenAlexW1999816703MaRDI QIDQ451012

Jasson Vindas, Hans Vernaeve

Publication date: 26 September 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2952

zbMATH Keywords

nonstandard analysisSchwartz distributionspoint values

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Nonstandard functional analysis (46S20)

Related Items (2)

Inverse Function Theorems for Generalized Smooth Functions ⋮ A proof of Łojasiewicz's theorem

Cites Work

• Nonstandard principles for generalized functions
• An embedding of Schwartz distributions in the algebra of asymptotic functions
• A distributional approach to the boundary layer theory
• Internal sets and internal functions in Colombeau theory
• A general integral
• Sur la valeur et la limite d'une distribution en un point
• Sur la fixation des variables dans une distribution
• Non-standard analysis
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