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Algebraische Aspekte in der nichtarchimedischen Analysis

In: Proceedings of a Conference on Local Fields

Author

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  • R. Remmert

Abstract

Zusammenfassung Seit Henselsbahnbrechenden zahlentheoretischen Untersuchungen über p-adische Zahlen zu Beginn dieses Jahrhunderts [13], [14] gibt es eine nichtarchimedische Analysis. Kürschakund Ostrowski klärten die bewertungstheoretischen Grundlagen; systematische Beiträge zur allgemeinen Funktionentheorie über einem nicht archimedisch bewerteten Körper gab es aber zunächst kaum. Die erste größere Arbeit scheint die Dissertation von W. Schöbe [30] aus dem Jahre 1930 zu sein, deren Resultate indessen lange unbekannt blieben und später von anderen — zum Teil auf komplizierterem Wege — neu bewiesen wurden. Weiterführende Ergebnisse verdankt man u.a. M. Krasner [17] und M. Lazard [19]. Eine einfache Herleitung der klassischen Resultate der Funktionentheorie einer Verändellichen gab kürzlich U. Güntzer[10].

Suggested Citation

  • R. Remmert, 1967. "Algebraische Aspekte in der nichtarchimedischen Analysis," Springer Books, in: T. A. Springer (ed.), Proceedings of a Conference on Local Fields, pages 86-117, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-87942-5_9
    DOI: 10.1007/978-3-642-87942-5_9
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