English

Spatial asymptotics of Green's function and applications

Spectral Theory 2021-03-04 v1 Mathematical Physics math.MP

Abstract

We study the spatial asymptotics of Green's function for the 1d Schrodinger operator with operator-valued decaying potential. The bounds on the entropy of the spectral measures are obtained. They are used to establish the presence of a.c. spectrum

Keywords

Cite

@article{arxiv.2103.02094,
  title  = {Spatial asymptotics of Green's function and applications},
  author = {Sergey A. Denisov},
  journal= {arXiv preprint arXiv:2103.02094},
  year   = {2021}
}
R2 v1 2026-06-23T23:41:14.860Z