Logarithmic hyperseries
| Autor: | Lou van den Dries, Joris van der Hoeven, Elliot Kaplan |
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| Přispěvatelé: | UIUC Department of Mathematics, University of Illinois at Urbana-Champaign [Urbana], University of Illinois System-University of Illinois System, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X) |
| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Transactions of the American Mathematical Society Transactions of the American Mathematical Society, American Mathematical Society, 2019, 372 (7), pp.5199-5241. ⟨10.1090/tran/7876⟩ |
| ISSN: | 1088-6850 0002-9947 |
| DOI: | 10.1090/tran/7876 |
| Popis: | We define the field $\mathbb{L}$ of logarithmic hyperseries, construct on $\mathbb{L}$ natural operations of differentiation, integration, and composition, establish the basic properties of these operations, and characterize these operations uniquely by such properties. 42 pages |
| Databáze: | OpenAIRE |
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