On the Continuous Spectrum of Schr¶dinger Operatorsa  Joachim Weidmann

Spectral Theory of Ordinary Differential Operators (Lecture Notes in Mathematics, 1258)

9783540179023: Spectral Theory of Ordinary Differential Operators (Lecture Notes in Mathematics, 1258)

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 Schr�dinger and Dirac operators with spherically symmetric potentials. The methods of proof are functionally analytic wherever possible.

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Spectral Theory of Ordinary Differential Operators: 1258 (Lecture Notes in Mathematics)

Weidmann, Joachim

Published by Springer (1987)

ISBN 10: 354017902X ISBN 13: 9783540179023

New Paperback Quantity: 2

Book Description Paperback. Condition: New. 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. This is a Brand New book, in perfect condition. Quick dispatch. Seller Inventory # NLS9783540179023

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Spectral Theory of Ordinary Differential Operators

Joachim Weidmann

Published by Springer Berlin Heidelberg (1987)

ISBN 10: 354017902X ISBN 13: 9783540179023

New Taschenbuch Quantity: 1

Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware -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 Schr�dinger and Dirac operators with spherically symmetric potentials. The methods of proof are functionally analytic wherever possible. 312 pp. Englisch. Seller Inventory # 9783540179023

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Spectral Theory of Ordinary Differential Operators

Joachim Weidmann

Published by Springer Berlin Heidelberg (1987)

ISBN 10: 354017902X ISBN 13: 9783540179023

New Softcover Quantity: > 20

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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 . Seller Inventory # 4883577

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