Strongly internal sets and generalized smooth functions
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Publication:458302
DOI10.1016/j.jmaa.2014.08.036zbMath1328.46037arXiv1402.3534OpenAlexW2962710273WikidataQ59310068 ScholiaQ59310068MaRDI QIDQ458302
Paolo Giordano, Michael Kunzinger, Hans Vernaeve
Publication date: 7 October 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.3534
Related Items (9)
Describing limits of integrable functions as grid functions of nonstandard analysis ⋮ The classical theory of calculus of variations for generalized functions ⋮ Hyper-power series and generalized real analytic functions ⋮ Inverse Function Theorems for Generalized Smooth Functions ⋮ A Convenient Notion of Compact Set for Generalized Functions ⋮ Regular generalized solutions to semilinear wave equations ⋮ Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers ⋮ Calculus of variations and optimal control for generalized functions ⋮ Hyperseries in the non-Archimedean ring of Colombeau generalized numbers
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