Sobolev spaces associated to the harmonic oscillator
组合数学
2007-05-23 v1 数学物理
泛函分析
math.MP
摘要
We define the Hermite--Sobolev spaces naturally associated to the harmonic oscillator Structural properties, relations with the classical Sobolev spaces, boundedness of operators and almost everywhere convergence of solutions of the Schr\"odinger equation are also considered.
引用
@article{arxiv.math/0608684,
title = {Sobolev spaces associated to the harmonic oscillator},
author = {B Bongioanni and J L Torrea},
journal= {arXiv preprint arXiv:math/0608684},
year = {2007}
}
备注
24 pages