On the application of one M.G.Krein's result to the spectral analysis of Sturm-Liouville operators

2000/07/14 by Sergey A. Denisov, S. A. Denisov, Denisov, S. A.
Mathematics · Physics and Astronomy · #34B24 #34L20 #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:34B24 #msc:34L20

paper · pdf · doi:10.48550/arxiv.math-ph/0007021

11 pages, LaTeX

arxiv created 2000/07/14 · openalex publication_date 2000/07/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Discovered by M.G.Krein analogy between polinomials orthogonal on the unit circle and generalized eigenfunctions of certain differential systems is used to obtain some new results in the spectral analysis of Sturm-Liouville operators. Some properties of Dirac-type differential systems are studied.

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