A representation formula related to Schrodinger operators
Spectral Theory
2007-05-23 v1 Classical Analysis and ODEs
Abstract
Let H be a Schrodinger operator on the real line, where the potential is in L^1 and L^2. We define the perturbed Fourier transform F for H and show that F is an isometry from the absolute continuous subspace onto L^2. This property allows us to construct a kernel formula for spectral operators. The main theorem improves the author's previous result for certain short-range potentials.
Cite
@article{arxiv.math/0412314,
title = {A representation formula related to Schrodinger operators},
author = {Shijun Zheng},
journal= {arXiv preprint arXiv:math/0412314},
year = {2007}
}
Comments
four pages, to appear in Anal. Theo. Appl