an:04056394
Zbl 0647.47052
Weidmann, Joachim
Spectral theory of ordinary differential operators
EN
Lecture Notes in Mathematics, 1258. Berlin etc.: Springer-Verlag. VI, 303 p.; DM 50.00 (1987).
00380782
1987
b
47E05 47A10 34L99 47B40 34-02 47-02
self-adjoint ordinary differential operators of arbitrary order; Sturm- Liouville operators; Dirac systems; oscillation theory; absolute continuity of the spectrum
The author's intention is to provide a general and rather complete theory of self-adjoint ordinary differential operators of arbitrary order n operating on \({\mathbb{C}}^ m\)-valued functions, m being an arbitrary natural number; and to apply this theory to Sturm-Liouville operators and Dirac systems, paying special attention to oscillation theory and absolute continuity of the spectrum. He has succeeded in producing an attractive, compact volume which is virtually self-contained and should be of considerable interest to the large number of mathematicians with interests in spectral theory ans.