On subordinacy and analysis of the spectrum of Schrödinger operators with two singular endpoints
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Publication:3834336
DOI10.1017/S0308210500018680zbMath0678.34024MaRDI QIDQ3834336
Publication date: 1989
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
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Cites Work
- Unnamed Item
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- Unnamed Item
- On finite-dimensional perturbations of self-adjoint operators
- Krein's formula and one-dimensional multiple-well
- Spectral theory of ordinary differential operators
- On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
- On the determination of a differential equation from its spectral function
- On a Problem of Weyl in the Theory of Singular Sturm-Liouville Equations
- N. N. Luzin and the theory of boundary properties of analytic functions
- A Separation Theorem for Continuous Spectra
- A Characterization of the Spectra of One-Dimensional Wave Equations
- The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices
- Oscillatory and Non-Oscillatory Linear Differential Equations
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