On the Two Spectra Inverse Problem for Semi-Infinite Jacobi Matrices
Luis O. Silva, Ricardo Weder
Abstract
We present results on the unique reconstruction of a semi-infinite Jacobi operator from the spectra of the operator with two different boundary conditions. This is the discrete analogue of the Borg-Marchenko theorem for Schrödinger operators in the half-line. Furthermore, we give necessary and sufficient conditions for two real sequences to be the spectra of a Jacobi operator with different boundary conditions.
Create a lesson
Related papers
Unifying spherical convolutions through lifting
J. D. McEwen
Perturbed isotropic oscillators with inversion symmetry
Antonella Marchesiello, Rita Mastroianni, Giuseppe Pucacco
Critical Ising model as the M(4,3) minimal model of conformal field theory
Dmitry Chelkak, Konstantin Izyurov, Kalle Kytölä
A Sklar-Type Decomposition for Positive Binary Distributions and a Gibbs Interpretation
Yi-Yu Lin
Lieb-Robinson bounds for irreversible dynamics via adaptive Dyson expansion
Carla Rubiliani, Marius Wesle, Tom Wessel
An elementary approach to the Szegő theorems
Israel Klich, Ravisankar Rajagopal