L^p eigenfunction bounds for the Hermite operator
Analysis of PDEs
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We obtain L^p eigenfunction bounds for the harmonic oscillator in R^n and for other related operators, improving earlier results of Thangavelu and Karadzhov. We also construct suitable counterexamples which show that our estimates are sharp.
Cite
@article{arxiv.math/0402261,
title = {L^p eigenfunction bounds for the Hermite operator},
author = {Herbert Koch and Daniel Tataru},
journal= {arXiv preprint arXiv:math/0402261},
year = {2007}
}
Comments
21 pages, 1 figure