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Introduction to spectral theory: selfadjoint ordinary differential operators
About this Title
B. M. Levitan, Nagoya University, Japan and I. S. Sargsjan, Max Planck Institute, Leipzig, Germany
Publication: Translations of Mathematical Monographs
Publication Year:
1975; Volume 39
ISBNs: 978-0-8218-1589-2 (print); 978-1-4704-4454-9 (online)
DOI: https://doi.org/10.1090/mmono/039
MathSciNet review: MR0369797
MSC: Primary 34B25; Secondary 35PXX, 47A10
Table of Contents
Front/Back Matter
Chapters
- Expansion in a Finite Interval
- Eigenfunction Expansions for a Sturm-Liouville Operator for the Case of an Infinite Interval
- Expansion in the Singular Case for a Dirac System
- Investigation of the Spectrum
- Examples
- Solution of the Cauchy Problem for the One-dimensional Wave Equation
- Eigenfunction Expansion of a Sturm-Liouville Operator
- Differentiation of an Eigenfunction Expansion
- Solution of the Cauchy Problem for a One-Dimensional Dirac System
- Asymptotic Behaviour of the Spectral Kernel and its Derivatives for the Case of a Dirac System
- Expansion, and Differentiation of an Expansion, with Respect to the Eigenfunctions of a Dirac System
- Asymptotic Behaviour of the Number of Eigenvalues of a Sturm-Liouville Operator
- Elements of the Spectral Theory of Linear Operators in Hilbert Space. Relation to Differential Operators
- Some Theorems of Analysis