Spectral singularities of the nonhomogeneous Sturm-Liouville equations
β Scribed by M. Adivar; E. Bairamov
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 502 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
A generalization is given for a characterization of the spectral density function of Weyl and Titchmarsh for a singular Sturm-Liouville problem having absolutely continuous spectrum in [0, β). A recurrent formulation is derived that generates a family of approximations based on this scheme. Proofs o
We consider a regular singular Sturm -Liouville operator on the line segment [0,1]. We impose certain boundary conditions such that we obtain a semibounded self-adjoint operator. It is known (cf. Theorem 1.1 below) that the (-function of this operator ha8 a meromorphic continuation to the whole comp