Hyperseries in the non-Archimedean ring of Colombeau generalized numbers
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Publication:2071005
DOI10.1007/s00605-021-01647-0OpenAlexW3216409996MaRDI QIDQ2071005
Publication date: 25 January 2022
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.16141
Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Non-Archimedean analysis (26E30)
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Cites Work
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- Strongly internal sets and generalized smooth functions
- The category of Colombeau algebras
- Real analytic generalized functions
- New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem
- Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers
- A non-Archimedean algebra and the Schwartz impossibility theorem
- Global representatives of Colombeau holomorphic generalized functions
- Differential calculus and integration of generalized functions over membranes
- Internal sets and internal functions in Colombeau theory
- Group invariant Colombeau generalized functions
- Developments in Constructive Nonstandard Analysis
- A Convenient Notion of Compact Set for Generalized Functions
- Transseries as germs of surreal functions
- Function Theory on Some Nonarchimedean Fields
- Advances in Ultrametric Analysis
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