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Beschreibung
Forming functions of operators is a basic task of many areas of linear analysis and quantum physics. Weyl¿s functional calculus, initially applied to the position and momentum operators of quantum mechanics, also makes sense for finite systems of selfadjoint operators. By using the Cauchy integral formula available from Clifford analysis, the book examines how functions of a finite collection of operators can be formed when the Weyl calculus is not defined. The technique is applied to the determination of the support of the fundamental solution of a symmetric hyperbolic system of partial differential equations and to proving the boundedness of the Cauchy integral operator on a Lipschitz surface.
Forming functions of operators is a basic task of many areas of linear analysis and quantum physics. Weyl¿s functional calculus, initially applied to the position and momentum operators of quantum mechanics, also makes sense for finite systems of selfadjoint operators. By using the Cauchy integral formula available from Clifford analysis, the book examines how functions of a finite collection of operators can be formed when the Weyl calculus is not defined. The technique is applied to the determination of the support of the fundamental solution of a symmetric hyperbolic system of partial differential equations and to proving the boundedness of the Cauchy integral operator on a Lipschitz surface.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
Introduction.- Weyl Calculus.- Clifford Analysis.- Functional Calculus for Noncommuting Operators.- The Joint Spectrum of Matrices.- The Monogenic Calculus for Sectorial Operators.- Feynman's Operational Calculus.- References.- Index.
Details
Erscheinungsjahr: 2004
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: vii
184 S.
ISBN-13: 9783540219231
ISBN-10: 3540219234
Sprache: Englisch
Herstellernummer: 11001249
Einband: Kartoniert / Broschiert
Autor: Jefferies, Brian R.
Hersteller: Springer
Springer Vieweg
Springer-Verlag GmbH
Lecture Notes in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Brian R. Jefferies
Erscheinungsdatum: 13.05.2004
Gewicht: 0,306 kg
Artikel-ID: 102442738