On isospectral sets of Jacobi operators
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Publication:679392
DOI10.1007/BF02101290zbMath0881.58069OpenAlexW1993483385MaRDI QIDQ679392
Publication date: 27 January 1998
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02101290
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectrum, resolvent (47A10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39)
Related Items (17)
Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators ⋮ Reflectionless Herglotz functions and Jacobi matrices ⋮ Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators ⋮ Spectral deformations of one-dimensional Schrödinger operators ⋮ Spectral properties of a class of reflectionless Schrödinger operators ⋮ The \(\xi\) function ⋮ On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems ⋮ \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices ⋮ The absolutely continuous spectrum of Jacobi matrices ⋮ A note on reflectionless Jacobi matrices ⋮ Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited ⋮ Dynamics in the Szeő class and polynomial asymptotics ⋮ Equality of the spectral and dynamical definitions of reflection ⋮ Trace formulas and a Borg‐type theorem for CMV operators with matrix‐valued coefficients ⋮ Toda soliton limits on general backgrounds ⋮ Right limits and reflectionless measures for CMV matrices ⋮ Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
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