Hyperfinite representation of distributions

DOI10.1007/BF02829532zbMath1030.46110MaRDI QIDQ1592948

R. Smith

Publication date: 22 February 2004

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

distributionsnonstandard analysishyperfinite representation

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Nonstandard functional analysis (46S20)

Related Items

Describing limits of integrable functions as grid functions of nonstandard analysis, Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations, Spaces of measurable functions on the Levi-Civita field, Sampling and \(\Pi\)-sampling expansions

Cites Work

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• Non-standard representations of distributions. I
• Non-standard representations of distributions. II
• Discrete representations of standard distributions
• Contribution to non-standard analysis