JournalsjstVol. 11, No. 4pp. 1831–1855

Uniform resolvent estimates for the discrete Schrödinger operator in dimension three

  • Kouichi Taira

    Ritsumeikan University, Kusatsu, Japan
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three cover
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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