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- catalog abstract "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.".
- catalog contributor b13292525.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog 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.".
- catalog description "Includes bibliographical references (p. [173]-179) and index.".
- catalog description "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.".
- catalog extent "viii, 184 p. ;".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540219234 (pbk.)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1843.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1843".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "Fourier analysis.".
- catalog subject "Functional analysis.".
- catalog subject "Functions of complex variables.".
- catalog subject "Linear operators.".
- catalog subject "Mathematics.".
- catalog subject "Operator theory.".
- catalog subject "QA3 .L28 no. 1843 QA329".
- catalog tableOfContents "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.".
- catalog title "Spectral properties of noncommuting operators / Brian Jefferies.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".