Periodic Jacobi operators with complex coefficients

DOI10.4171/JST/357zbMath1482.39027arXiv1909.09206MaRDI QIDQ2247206

Vassilis G. Papanicolaou

Publication date: 17 November 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09206

zbMATH Keywords

spectruminverse spectral problemdiscrete Schrödinger operatorHill discriminantperiodic Jacobi operatorthree-term recurrence equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39) Local spectral properties of linear operators (47A11) Spectral theory of functional-differential operators (34K08)

Cites Work

• Some results on ordinary differential operators with periodic coefficients
• Geometry of the spectrum of the one-dimensional Schrödinger equation with a periodic complex-valued potential
• Spectral theory of Schrödinger operators with periodic complex-valued potentials
• The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data
• Spectral analysis of a class of second-order non-self-adjoint differential operators
• Direct and inverse problems for a periodic Jacobi matrix
• On the measure of gaps and spectra for discrete 1D Schrödinger operators
• On the theory of Hill's matrices and related inverse spectral problems
• Orthogonal and extremal polynomials on several intervals
• Spectral parametrization of non-selfadjoint Hill's operators
• Spectra of non-selfadjoint Hill's operators and a class of Riemann surfaces
• When is a non-self-adjoint Hill operator a spectral operator of scalar type?
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
• Spectral Properties of a Certain Class of Complex Potentials
• On the discrete one-dimensional inverse transmission eigenvalue problem
• Hardy functions and the inverse spectral method
• AN INVERSE PROBLEM FOR A CLASS OF ONE-DIMENSIONAL SCHRÖDINGER OPERATORS WITH A COMPLEX PERIODIC POTENTIAL
• The spectral expansion for a nonself-adjoint Hill operator with a locally integrable potential
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Periodic Jacobi operators with complex coefficients