دانلود کتاب Spectral Theory of Ordinary Differential Operators

فهرست مطالب :

Introduction....Pages 1-6
Formally self-adjoint differential expressions....Pages 7-15
Appendix to section 1: The separation of the Dirac operator....Pages 16-22
Fundamental properties and general assumptions....Pages 23-35
Appendix to section 2: Proof of the Lagrange identity for n>2....Pages 35-40
The minimal operator and the maximal operator....Pages 41-51
Deficiency indices and self-adjoint extensions of T 0 ....Pages 52-71
The solutions of the inhomogeneous differential equation (τ-λ)u=f; Weyl's alternative....Pages 72-87
Limit point-limit circle criteria....Pages 88-103
Appendix to section 6: Semi-boundedness of Sturm-Liouville type operators....Pages 104-109
The resolvents of self-adjoint extensions of T 0 ....Pages 110-125
The spectral representation of self-adjoint extensions of T 0 ....Pages 126-139
Computation of the spectral matrix ϱ....Pages 140-149
Special properties of the spectral representation, spectral multiplicities....Pages 150-161
L 2 -solutions and essential spectrum....Pages 162-171
Differential operators with periodic coefficients....Pages 172-190
Appendix to section 12: Operators with periodic coefficients on the half-line....Pages 191-193
Oscillation theory for regular Sturm-Liouville operators....Pages 194-212
Oscillation theory for singular Sturm-Liouville operators....Pages 213-226
Essential spectrum and absolutely continuous spectrum of Sturm-Liouville operators....Pages 227-241
Oscillation theory for Dirac systems, essential spectrum and absolutely continuous spectrum....Pages 242-255
Some explicitly solvable problems....Pages 256-294