Sharp estimates of the potential kernel for the harmonic oscillator with applications
Classical Analysis and ODEs
2015-01-14 v2
Abstract
We prove qualitatively sharp estimates of the potential kernel for the harmonic oscillator. These bounds are then used to show that the estimates of the associated potential operator obtained recently by Bongioanni and Torrea are in fact sharp.
Cite
@article{arxiv.1111.5738,
title = {Sharp estimates of the potential kernel for the harmonic oscillator with applications},
author = {Adam Nowak and Krzysztof Stempak},
journal= {arXiv preprint arXiv:1111.5738},
year = {2015}
}
Comments
10 pages, 1 figure; v2 (corrections in Section 3 concerning Theorem 3.1 and its proof and Figure 1)