Author | Weidmann, Joachim. author |
---|---|
Title | Spectral Theory of Ordinary Differential Operators [electronic resource] / by Joachim Weidmann |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1987 |
Connect to | http://dx.doi.org/10.1007/BFb0077960 |
Descript | VIII, 304 p. online resource |
Formally self-adjoint differential expressions -- Appendix to section 1: The separation of the Dirac operator -- Fundamental properties and general assumptions -- Appendix to section 2: Proof of the Lagrange identity for n>2 -- The minimal operator and the maximal operator -- Deficiency indices and self-adjoint extensions of T0 -- The solutions of the inhomogeneous differential equation (?-?)u=f; Weyl's alternative -- Limit point-limit circle criteria -- Appendix to section 6: Semi-boundedness of Sturm-Liouville type operators -- The resolvents of self-adjoint extensions of T0 -- The spectral representation of self-adjoint extensions of T0 -- Computation of the spectral matrix ? -- Special properties of the spectral representation, spectral multiplicities -- L2-solutions and essential spectrum -- Differential operators with periodic coefficients -- Appendix to section 12: Operators with periodic coefficients on the half-line -- Oscillation theory for regular Sturm-Liouville operators -- Oscillation theory for singular Sturm-Liouville operators -- Essential spectrum and absolutely continuous spectrum of Sturm-Liouville operators -- Oscillation theory for Dirac systems, essential spectrum and absolutely continuous spectrum -- Some explicitly solvable problems