Spectral Properties of Self-Adjoint Ordinary Differential Operators with an Indefinite Weight FunctionSpectral Theory of Sturm-Liouville Differential Operators
Document TypeConference Proceeding
AbstractSpectral properties of the equation l (f ) - λrf = 0 with an indefinite weight function r are studied in LI2rl . The main tool is the theory of definitizable operators in Krein spaces. Under special assumptions on the weight function, for the operator associated with the problem, the regularity of the critical point infinity is proved. Some relations to full- and half-range expansions are indicated.
Citation InformationSpectral Properties of Self-Adjoint Ordinary Differential Operators with an Indefinite Weight Function. (with H. Langer) Proceedings of the 1984 Workshop ``Spectral Theory of Sturm-Liouville Differential Operators,'' ANL-84-73, Argonne National Laboratory, Argonne, Ill., (1984) 73-80.