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Synopsis
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.
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- PublisherSpringer
- Publication date2004
- ISBN 10 3540219234
- ISBN 13 9783540219231
- BindingPaperback
- Number of pages191
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Spectral Properties of Noncommuting Operators. (Lecture Notes in Mathematics 1843).
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Spectral Properties of Noncommuting Operators (Lecture Notes in Mathematics) by Jefferies, Brian R. [Paperback ]
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Spectral Properties of Noncommuting Operators (Lecture Notes in Mathematics, 1843)
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Spectral Properties of Noncommuting Operators
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Taschenbuch. Condition: NEW. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 196 pp. Englisch. Seller Inventory # 9783540219231
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Spectral Properties of Noncommuting Operators
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Taschenbuch. Condition: NEW. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540219231
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Spectral Properties of Noncommuting Operators
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