Uniform resolvent estimates for the discrete Schrödinger operator in dimension three
Kouichi Taira
Ritsumeikan University, Kusatsu, Japan
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Abstract
In this note, we prove the uniform resolvent estimate of the discrete Schrödinger operator with dimension three. To do this, we show a Fourier decay of the surface measure on the Fermi surface.
Cite this article
Kouichi Taira, Uniform resolvent estimates for the discrete Schrödinger operator in dimension three. J. Spectr. Theory 11 (2021), no. 4, pp. 1831–1855
DOI 10.4171/JST/387