6c
The Discrete Laplacian: A Bessel Function Aproach
Jacob Schach Moller 氏
Aarhus University, Denmark
アブストラクト：
The talk is based on joint work with Evgeny Korotyaev.
We discuss how to use optimal estimates on Bessel functions
by Krasikov and Landau to derive $L^p$-weighted estimates
for the free propagator and resolvent of the discrete Laplacian
on a cubic lattice.
As an application we shall discuss an associated Birman-Schwinger
equation and derive consequences for the point spectrum and singular
continuous spectrum of discrete Schrodinger operators.