Document Type
Conference Proceeding
Publication Date
1984
Keywords
Sturm-Liouville differential operators
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.
Publication Title
Spectral Theory of Sturm-Liouville Differential Operators
Volume
84
First Page
73
Last Page
80
Required Publisher's Statement
Argonne National Laboratory, Argonne IL
Operated by The University of Chicago for the U.S. Department of Energy under Contract W-31-109-Eng-38
Recommended Citation
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.
Subjects - Topical (LCSH)
Selfadjoint operators; Sturm-Liouville equation; Kreĭn spaces
Genre/Form
conference proceedings
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
