Uniform resolvent estimates for the discrete Schr\"odinger operator in dimension three
Spectral Theory
2020-09-11 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this note, we prove the uniform resolvent estimate of the discrete Schr\"odinger operator with dimension three. To do this, we show a Fourier decay of the surface measure on the Fermi surface.
Cite
@article{arxiv.2005.09366,
title = {Uniform resolvent estimates for the discrete Schr\"odinger operator in dimension three},
author = {Kouichi Taira},
journal= {arXiv preprint arXiv:2005.09366},
year = {2020}
}
Comments
19pages