It takes the average reader 5 hours and 10 minutes to read Spectral Theory of Ordinary Differential Operators by Joachim Weidmann
Assuming a reading speed of 250 words per minute. Learn more
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 Theory of Ordinary Differential Operators by Joachim Weidmann is 310 pages long, and a total of 77,500 words.
This makes it 105% the length of the average book. It also has 95% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 3 minutes to read Spectral Theory of Ordinary Differential Operators aloud.
Spectral Theory of Ordinary Differential Operators is suitable for students ages 12 and up.
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