# zbMATH — the first resource for mathematics

Spectral theory of ordinary differential operators. (English) Zbl 0647.47052
Lecture Notes in Mathematics, 1258. Berlin etc.: Springer-Verlag. VI, 303 p.; DM 50.00 (1987).
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.

##### MSC:
 47E05 General theory of ordinary differential operators (should also be assigned at least one other classification number in Section 47-XX) 47A10 Spectrum, resolvent 34L99 Ordinary differential operators 47B40 Spectral operators, decomposable operators, well-bounded operators, etc. 34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations 47-02 Research exposition (monographs, survey articles) pertaining to operator theory