Non-standard representations of distributions. I

zbMath0724.46040MaRDI QIDQ757792

Moto-o Kinoshita

Publication date: 1988

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

distributions of finite orderH-periodic internal mappings

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Nonstandard models in mathematics (03H05) Nonstandard functional analysis (46S20) Nonstandard analysis (26E35)

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Describing limits of integrable functions as grid functions of nonstandard analysis, Discrete representation of generalized functions, A complexified path integral for a system of harmonic oscillators, Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations, Spaces of measurable functions on the Levi-Civita field, Hyperfinite representation of distributions