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Spectral Properties of Self-Adjoint Ordinary Differential Operators with an Indefinite Weight Function
Spectral Theory of Sturm-Liouville Differential Operators
  • Branko Ćurgus, Western Washington University
  • Heinz Langer
Document Type
Conference Proceeding
Publication Date
1-1-1984
Disciplines
Abstract

Spectral 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 Information
Spectral 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.