A nonstandard definition of finite order ultradistributions

DOI10.1007/BF02837998zbMath0946.46037OpenAlexW2033003895MaRDI QIDQ1961745

Yanyan Li

Publication date: 22 October 2000

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

Full work available at URL: https://doi.org/10.1007/bf02837998

zbMATH Keywords

Boehmiansinverse Fourier transformnon-standard modeldifferential operators of \(\infty\)-orderfinite order distributionsnon-standard extensionnon-standard representation of finite order distributionsSilva axioms

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Nonstandard functional analysis (46S20)

Cites Work

• On infinite derivatives of continuous functions
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