On limit set of KdV flow: An extension of Remling theorem
Spectral Theory
2024-12-20 v4
Abstract
C. Remling obtained a theorem on limit set of the shift operation on a space of functions on R when the associated 1-D half line Schr\"odinger operators have absolutely continuous component in their spectrum. The purpose of the paper is to define a KdV flow on a certain class of functions containing algebro-geometric functions and to extend this result to the KdV flow.
Keywords
Cite
@article{arxiv.1304.6785,
title = {On limit set of KdV flow: An extension of Remling theorem},
author = {Shinichi Kotani},
journal= {arXiv preprint arXiv:1304.6785},
year = {2024}
}
Comments
incomplete statement in Theorem