Spectral Properties of Noncommuting Operators

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 f...

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التفاصيل البيبلوغرافية
المؤلف الرئيسي: Jefferies, Brian, 1956-
التنسيق: Livre numérique
اللغة:Anglais
منشور في: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
سلاسل:Lecture notes in mathematics 1843
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Edition sous un autre format:• Spectral properties of noncommuting operators, Brian Jefferies, 2004, Berlin, Springer, 1 vol. (VIII-184 p.), Lecture Notes in Mathematics, 3-540-21923-4
• Spectral Properties of Noncommuting Operators, Texte imprimé, 9783662172308
الوصف
الملخص: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.
وصف المادة:Archives Springer e-books (Licence nationale)
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ردمك:9783540707462 (PDF)
تدمد:1617-9692
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