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Deficiency Indices and Spectrum of Difference Operators

Academic Paper 2018 5 Pages

Mathematics - Miscellaneous

Summary

Sturm-Liouville operators and Jacobi matrices have so far been developed in parallel for many years. A result in one field usually leads to a result in the other. However not much in terms of spectral theory has been done in the discrete setting compared to the continuous version especially in higher order operators. The aim of the study is to compute the deficiency indices of Fourth order difference operator. The results obtained show that under different asymptotic conditions,
the defL = (k; k) : 2 < k < 4.

Details

Pages
5
Year
2018
Language
English
Catalog Number
v469037
Grade
A
Tags
Difference Operators Jacobi matrices Sturm- Liouville operators

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Title: Deficiency Indices and Spectrum of Difference Operators