Sobolev spaces associated to the harmonic oscillator
Combinatorics
2007-05-23 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
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.
Keywords
Cite
@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}
}
Comments
24 pages