On the Extension of Ambarzumian's Inverse Spectral Theorem to Compact Symmetric Spaces

DOI10.2307/2374487zbMath0669.58032OpenAlexW2312648709MaRDI QIDQ3822888

Evans M. II. Harrell

Publication date: 1987

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374487

zbMATH Keywords

eigenvaluesSchrödinger operatorSturm-Liouville operatorsinverse spectral theoremnon-smooth potentials

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Inverse problems for PDEs (35R30) PDEs with low regular coefficients and/or low regular data (35R05) Schrödinger operator, Schrödinger equation (35J10) Ordinary differential operators (34L99)

Related Items (9)

Band asymptotics with nonsmooth potentials ⋮ Ambarzumian's theorem for a Sturm-Liouville boundary value problem on a star-shaped graph ⋮ On three spectra problem and Ambarzumian's theorem ⋮ Recovering the shape of a quantum graph ⋮ Ambarzumyan theorems for Dirac operators ⋮ Some Ambarzumyan type theorems for Bessel operator on a finite interval ⋮ Critical potentials of the eigenvalue ratios of Schrödinger operators ⋮ Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation ⋮ Critical potentials of the eigenvalues and eigenvalue gaps of Schrödinger operators

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