Uniform resolvent estimates for the discrete Schrödinger operator in dimension three

IF 1 3区数学 Q1 MATHEMATICS

Journal of Spectral Theory Pub Date : 2020-05-19 DOI:10.4171/jst/387

Kouichi Taira

引用次数: 3

Abstract

In this note, we prove the uniform resolvent estimate of the discrete Schrodinger operator with dimension three. To do this, we show a Fourier decay of the surface measure on the Fermi surface.

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三维离散Schrödinger算子的一致预解估计

本文证明了三维离散薛定谔算子的一致预解估计。为了做到这一点，我们展示了费米表面上表面测量的傅立叶衰变。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Spectral Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： The Journal of Spectral Theory is devoted to the publication of research articles that focus on spectral theory and its many areas of application. Articles of all lengths including surveys of parts of the subject are very welcome. The following list includes several aspects of spectral theory and also fields which feature substantial applications of (or to) spectral theory. Schrödinger operators, scattering theory and resonances; eigenvalues: perturbation theory, asymptotics and inequalities; quantum graphs, graph Laplacians; pseudo-differential operators and semi-classical analysis; random matrix theory; the Anderson model and other random media; non-self-adjoint matrices and operators, including Toeplitz operators; spectral geometry, including manifolds and automorphic forms; linear and nonlinear differential operators, especially those arising in geometry and physics; orthogonal polynomials; inverse problems.