Inequalities for the transformation operators and applications
经典分析与常微分方程
2007-05-23 v1
摘要
Inequalities for the transformation operator kernel in terms of -function are given, and vice versa. These inequalities are applied to inverse scattering on half-line. Characterization of the scattering data corresponding to the usual scattering class of the potentials, to the class of compactly supported potentials, and to the class of square integrable potentials is given. Invertibility of each of the steps in the inversion procedure is proved.
引用
@article{arxiv.math/0301383,
title = {Inequalities for the transformation operators and applications},
author = {A. G. Ramm},
journal= {arXiv preprint arXiv:math/0301383},
year = {2007}
}