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Aufbaukurs Funktionalanalysis Und Operatortheorie: Distributionen - Lokalkonvexe Methoden - Spektraltheorie
Paperback
ISBN13: 9783642377938
Publisher: Springer Spektrum
Published: Nov 28 2013
Pages: 493
Weight: 1.85
Height: 1.10 Width: 6.60 Depth: 9.40
Language: German
In diesem Buch finden Sie eine Einführung in die Funktionalanalysis und Operatortheorie auf dem Niveau eines Master-Studiengangs.
Ausgehend von Fragen zu partiellen Differenzialgleichungen und Integralgleichungen untersuchen Sie lineare Gleichungen im Hinblick auf Existenz und Struktur von Lösungen sowie deren Abhängigkeit von Parametern. Dazu lernen Sie verschiedene Konzepte und Methoden kennen, z.B. Distributionen, Fourier-Transformation, Sobolev-Räume, Banachalgebren, Fredholmoperatoren, Funktionalkalküle und selbstadjungierte Operatoren.
Das Buch ist ausführlich geschrieben, die Inhalte werden durch Abbildungen und viele Beispiele illustriert. Zahlreiche Übungsaufgaben (mit Lösungen) erleichtern das Verständnis des Stoffes.
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