Stability of singular spectral types under decaying perturbations

DOI10.1016/S0022-1236(02)00053-8zbMath1029.34073arXivmath/0110139OpenAlexW1979886610MaRDI QIDQ1868671

Barry Simon, Yoram Last, Alexander Kiselev

Publication date: 28 April 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110139

zbMATH Keywords

perturbationsspectracontinuum and discrete Schrödinger operatorsspectral types

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

Related Items (13)

Sturm-Liouville operators in the half axis with local perturbations ⋮ $\mathbf {\operatorname {SL} _2({\mathbb {R}})}$, exponential Herglotz representations, and spectral averaging ⋮ Stability of spectral types for Jacobi matrices under decaying random perturbations ⋮ Preservation of a.c.\ spectrum for random decaying perturbations of square-summable high-order variation ⋮ Spectral averaging techniques for Jacobi matrices ⋮ Preservation of absolutely continuous spectrum of periodic Jacobi operators under perturbations of square-summable variation ⋮ Destruction of absolutely continuous spectrum by perturbation potentials of bounded variation ⋮ Scaling estimates for solutions and dynamical lower bounds on wavepacket spreading ⋮ Sturm–Liouville operators in the half axis with shifted potentials ⋮ On perturbations of quasiperiodic Schrödinger operators ⋮ Stability of asymptotics of Christoffel-Darboux kernels ⋮ PACKING SUBORDINACY WITH APPLICATION TO SPECTRAL CONTINUITY ⋮ Universality of mesoscopic fluctuations for orthogonal polynomial ensembles

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