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Eigenvalues and completeness for regular and simply irregular two-point differential operators
About this Title
John Locker
Publication: Memoirs of the American Mathematical Society
Publication Year:
2008; Volume 195, Number 911
ISBNs: 978-0-8218-4171-6 (print); 978-1-4704-0517-5 (online)
DOI: https://doi.org/10.1090/memo/0911
MathSciNet review: 2437836
MSC: Primary 47E05; Secondary 34-02, 34L05, 34L10, 47A10
Table of Contents
Chapters
- 1. Introduction
- 2. Birkhoff approximate solutions
- 3. The approximate characteristic determinant: classification
- 4. Asymptotic expansion of solutions
- 5. The characteristic determinant
- 6. The Green’s function
- 7. The eigenvalues for $n$ even
- 8. The eigenvalues for $n$ odd
- 9. Completeness of the generalized eigenfunctions
- 10. The case $L$ = $T$, degenerate irregular examples
- 11. Unsolved problems
- 12. Appendix