Spectral Theory Of Ordinary Differential Operators
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Spectral Theory Of Ordinary Differential Operators
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Author : Joachim Weidmann
language : en
Publisher:
Release Date : 2014-01-15
Spectral Theory Of Ordinary Differential Operators written by Joachim Weidmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Spectral Theory Of Ordinary Differential Operators
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Author : Erich Müller-Pfeiffer
language : en
Publisher: Ellis Horwood
Release Date : 1981
Spectral Theory Of Ordinary Differential Operators written by Erich Müller-Pfeiffer and has been published by Ellis Horwood this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Spectral Theory Of Ordinary Differential Operators
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Author : Joachim Weidmann
language : en
Publisher: Springer
Release Date : 2006-11-15
Spectral Theory Of Ordinary Differential Operators written by Joachim Weidmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
These notes will be useful and of interest to mathematicians and physicists active in research as well as for students with some knowledge of the abstract theory of operators in Hilbert spaces. They give a complete spectral theory for ordinary differential expressions of arbitrary order n operating on -valued functions existence and construction of self-adjoint realizations via boundary conditions, determination and study of general properties of the resolvent, spectral representation and spectral resolution. Special attention is paid to the question of separated boundary conditions, spectral multiplicity and absolutely continuous spectrum. For the case nm=2 (Sturm-Liouville operators and Dirac systems) the classical theory of Weyl-Titchmarch is included. Oscillation theory for Sturm-Liouville operators and Dirac systems is developed and applied to the study of the essential and absolutely continuous spectrum. The results are illustrated by the explicit solution of a number of particular problems including the spectral theory one partical Schrödinger and Dirac operators with spherically symmetric potentials. The methods of proof are functionally analytic wherever possible.
Spectral Analysis Of Differential Operators
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Author : Fedor S. Rofe-Beketov
language : en
Publisher: World Scientific
Release Date : 2005
Spectral Analysis Of Differential Operators written by Fedor S. Rofe-Beketov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
- Detailed bibliographical comments and some open questions are given after each chapter - Indicates connections between the content of the book and many other topics in mathematics and physics - Open questions are formulated and commented with the intention to attract attention of young mathematicians
Spectral Theory Of Ordinary Differential Operators
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Author :
language : en
Publisher:
Release Date : 1983
Spectral Theory Of Ordinary Differential Operators written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Spectral And Scattering Theory For Ordinary Differential Equations
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Author : Christer Bennewitz
language : en
Publisher: Springer Nature
Release Date : 2020-10-27
Spectral And Scattering Theory For Ordinary Differential Equations written by Christer Bennewitz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-27 with Mathematics categories.
This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations. Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm–Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the left-definite theory for Sturm–Liouville equations. The modest prerequisites for this book are basic one-variable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advanced undergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the left-definite theory and the Camassa–Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.
Spectral Theory Of Differential Operators
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Author : I.W. Knowles
language : en
Publisher: Elsevier
Release Date : 1981-01-01
Spectral Theory Of Differential Operators written by I.W. Knowles and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.
Spectral Theory of Differential Operators
Introduction To Spectral Theory Selfadjoint Ordinary Differential Operators
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Author : Boris Moiseevich Levitan
language : en
Publisher: American Mathematical Soc.
Release Date : 1975
Introduction To Spectral Theory Selfadjoint Ordinary Differential Operators written by Boris Moiseevich Levitan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Presents a monograph that is devoted to the spectral theory of the Sturm- Liouville operator and to the spectral theory of the Dirac system. This book concerns with nth order operators that can serve as simply an introduction to this domain. It includes a chapter that discusses this theory.
Spectral Theory And Asymptotics Of Differential Equations
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-09-21
Spectral Theory And Asymptotics Of Differential Equations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-21 with Mathematics categories.
Spectral Theory and Asymptotics of Differential Equations
Spectral Theory Of Differential Operators
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Author : T. Suslina
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-01-01
Spectral Theory Of Differential Operators written by T. Suslina and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
Translations of articles on mathematics appearing in various Russian mathematical serials.