Reflectionless analytic difference operators I. algebraic framework
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
We introduce and study a class of analytic difference operators admitting reflectionless eigenfunctions. Our construction of the class is patterned after the Inverse Scattering Transform for the reflectionless self-adjoint Schr\"odinger and Jacobi operators corresponding to KdV and Toda lattice solitons.
Cite
@article{arxiv.nlin/0101058,
title = {Reflectionless analytic difference operators I. algebraic framework},
author = {Simon N. M. Ruijsenaars},
journal= {arXiv preprint arXiv:nlin/0101058},
year = {2015}
}