Spectral Properties of Noncommuting Operators (Lecture Notes in Mathematics, 1843) 2004th Edition by Brian R. Jefferies (PDF)

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    Ebook Info

    • Published: 2004
    • Number of pages: 191 pages
    • Format: PDF
    • File Size: 1.72 MB
    • Authors: Brian R. Jefferies

    Description

    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.

    User’s Reviews

    Editorial Reviews: From the Back Cover 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.

    Reviews from Amazon users which were colected at the time this book was published on the website:

    Keywords

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    Download Spectral Properties of Noncommuting Operators (Lecture Notes in Mathematics, 1843) 2004th Edition 2004 PDF Free
    Spectral Properties of Noncommuting Operators (Lecture Notes in Mathematics, 1843) 2004th Edition 2004 PDF Free Download
    Download Spectral Properties of Noncommuting Operators (Lecture Notes in Mathematics, 1843) 2004th Edition PDF
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