On limit set of KdV flow: An extension of Remling theorem

2013/04/25 by Shinichi Kotani, Kotani, Shinichi
Mathematics · #37K15 #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1304.6785

openalex publication_date 2013/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Schrödinger 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.

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