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Book Synopsis Spectral Properties of Noncommuting Operators by : Brian R. Jefferies
Download or read book Spectral Properties of Noncommuting Operators written by Brian R. Jefferies and published by . This book was released on 2014-01-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Spectral Properties of Noncommuting Operators by : Brian Jefferies
Download or read book Spectral Properties of Noncommuting Operators written by Brian Jefferies and published by Springer Science & Business Media. This book was released on 2004-05-13 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Spectral Theory Of Noncommuting Operators by : Rongwei Yang
Download or read book A Spectral Theory Of Noncommuting Operators written by Rongwei Yang and published by Springer Nature. This book was released on with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Properties of Hamiltonian Operators by : K. Jorgens
Download or read book Spectral Properties of Hamiltonian Operators written by K. Jorgens and published by . This book was released on 2014-01-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Properties of Hamiltonian Operators by : K. Jörgens
Download or read book Spectral Properties of Hamiltonian Operators written by K. Jörgens and published by Springer. This book was released on 2006-11-15 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics. Difficulties are encountered in many-particle problems due to the lack of semiboundedness of the Dirac operator, and this has led to the investigation of operators like those of Chandrasekhar-Herbst and Brown-Ravenhall, which are semibounded under appropriate circumstances.This book contains an up-to-date, comprehensive and self-contained analysis of the spectral properties of these operators, providing the tools for anyone working in this area. Another major feature is the work of the authors on zero modes, a topic which has important significance for the stability of matter and other physical problems. Up until now, these topics have been scattered throughout the literature, without a systematic and cohesive treatment. The book will report largely on the progress on these topics published since 1992.
Book Synopsis Spectral Analysis of Relativistic Operators by : A. A. Balinsky
Download or read book Spectral Analysis of Relativistic Operators written by A. A. Balinsky and published by World Scientific. This book was released on 2011 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics. Difficulties are encountered in many-particle problems due to the lack of semiboundedness of the Dirac operator, and this has led to the investigation of operators like those of Chandrasekhar-Herbst and Brown-Ravenhall, which are semibounded under appropriate circumstances.This book contains an up-to-date, comprehensive and self-contained analysis of the spectral properties of these operators, providing the tools for anyone working in this area. Another major feature is the work of the authors on zero modes, a topic which has important significance for the stability of matter and other physical problems. Up until now, these topics have been scattered throughout the literature, without a systematic and cohesive treatment. The book will report largely on the progress on these topics published since 1992.
Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics. Difficulties are encountered in many-particle problems due to the lack of semiboundedness of the Dirac operator, and this has led to the investigation of operators like those of Chandrasekhar-Herbst and Brown-Ravenhall, which are semibounded under appropriate circumstances.This book contains an up-to-date, comprehensive and self-contained analysis of the spectral properties of these operators, providing the tools for anyone working in this area. Another major feature is the work of the authors on zero modes, a topic which has important significance for the stability of matter and other physical problems. Up until now, these topics have been scattered throughout the literature, without a systematic and cohesive treatment. The book will report largely on the progress on these topics published since 1992./a
Book Synopsis Spectral Analysis Of Relativistic Operators by : William Desmond Evans
Download or read book Spectral Analysis Of Relativistic Operators written by William Desmond Evans and published by World Scientific. This book was released on 2010-10-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics. Difficulties are encountered in many-particle problems due to the lack of semiboundedness of the Dirac operator, and this has led to the investigation of operators like those of Chandrasekhar-Herbst and Brown-Ravenhall, which are semibounded under appropriate circumstances.This book contains an up-to-date, comprehensive and self-contained analysis of the spectral properties of these operators, providing the tools for anyone working in this area. Another major feature is the work of the authors on zero modes, a topic which has important significance for the stability of matter and other physical problems. Up until now, these topics have been scattered throughout the literature, without a systematic and cohesive treatment. The book will report largely on the progress on these topics published since 1992./a
The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.
Book Synopsis Spectral Theory on the S-Spectrum for Quaternionic Operators by : Fabrizio Colombo
Download or read book Spectral Theory on the S-Spectrum for Quaternionic Operators written by Fabrizio Colombo and published by Springer. This book was released on 2019-01-04 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.
The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.
Book Synopsis Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations by : Wolfgang Arendt
Download or read book Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2012-06-15 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.
This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.
Book Synopsis Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis by : Daniel Alpay
Download or read book Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis written by Daniel Alpay and published by Springer Nature. This book was released on 2023-04-11 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.