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Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations (Pseudo-Differential Operators, 14) - Softcover
Synopsis
The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.
In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book.
Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
"synopsis" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2019
- ISBN 10 303010818X
- ISBN 13 9783030108182
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages506
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Non-Self-Adjoint Differential Operators, Spectral Asymptotics And Random Perturbations
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Non-Self-Adjoint Differential Operators, Spectral Asymptotics And Random Perturbations
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Non-Self-Adjoint Differential Operators, Spectral Asymptotics And Random Perturbations
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Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations (Pseudo-Differential Operators, 14)
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Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
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Springer International Publishing Mai 2019, 2019
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ISBN 13: 9783030108182
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book.Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems. 508 pp. Englisch. Seller Inventory # 9783030108182
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Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
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Springer International Publishing, 2019
ISBN 10: 303010818X
ISBN 13: 9783030108182
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents new results of a classic fieldIncludes open problemsDescribes recent developments on topics in non-self-adjoint operator theoryThe asymptotic distribution of eigenvalues of self-adjoint dif. Seller Inventory # 257580652
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Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
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ISBN 10: 303010818X
ISBN 13: 9783030108182
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book.Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems. Seller Inventory # 9783030108182
Quantity: 1 available