Logarithmic hyperseries
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.
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| Veröffentlicht in: | Transactions of the American Mathematical Society 2019-10, Vol.372 (7), p.5199-5241 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 0002-9947 1088-6850 |
| DOI: | 10.1090/tran/7876 |