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Distributionen: Theorie Und Grundlagen Ohne Topologisches Vorwissen Verstehen
Paperback
General MathematicsProbability & Statistics
ISBN13: 9783662738221
Publisher: Springer Spektrum
Published: Sep 21 2026
Pages: 101
Language: German
Diese Einführung in die Distributionentheorie schlie t die Lücke zwischen der klassischen Funktionalanalysis, d.h. der Lehre der unendlichdimensionalen normierten Räume, und dem in der Physik allgegenwärtigen Konzept der verallgemeinerten Funktion.
Der Fokus liegt auf den funktionalanalytischen Grundlagen, die an anderer Stelle oft nur gestreift werden können. Insbesondere wird die strikte-induktive-Limes-Topologie des Raumes der Testfunktionen rigoros definiert, um der Diracschen Delta-Distribution einen präzisen mathematischen Sinn zu geben. Zudem werden ausgewählte Anwendungen auf partielle Differentialgleichungen behandelt.
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