The Symmetry of Singular Hamiltonian Differential Operators and Properties of Deficiency Indices
β Scribed by Jian Gang Qi
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2005
- Tongue
- English
- Weight
- 191 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1439-7617
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π SIMILAR VOLUMES
## Abstract We investigate the spectral theory of a general third order formally symmetric differential expression of the form acting in the Hilbert space βοΈ^2^~__w__~ (__a__ ,β). A KummerβLiouville transformation is introduced which produces a differential operator unitarily equivalent to __L__
Oscillation and spectral properties of the one-term differential operator of the form are investigated. It is shown that certain recently established necessary conditions for discreteness a boundedness below of the spectrum of 1 are also sufficient for this property. Some related problems are also i