Inverse spectral theory as influenced by Barry Simon

zbMath1135.34006arXiv1002.0388MaRDI QIDQ5429853

Friedrich Gesztesy

Publication date: 4 December 2007

Full work available at URL: https://arxiv.org/abs/1002.0388

zbMATH Keywords

oscillation theorytrace formulasuniqueness resultsWeyl-Titchmarsh theorySpectral deformations

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Inverse problems involving ordinary differential equations (34A55)

Related Items (9)

Unique determination of a system by a part of the monodromy matrix ⋮ Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval ⋮ The inverse approach to Dirac-type systems based on the \(A\)-function concept ⋮ The Maslov and Morse indices for system Schroedinger operators on \mathBB{R} ⋮ Transformation Operators for Fractional Order Ordinary Differential Equations and Their Applications ⋮ Variations on a theme of Jost and Pais ⋮ Mixed data in inverse spectral problems for the Schrödinger operators ⋮ Ambarzumian-type problems for discrete Schrödinger operators ⋮ Inverse problems for Jacobi operators with mixed spectral data

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