We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm8241-3-2016,
author = {Hubert Klaja},
title = {On Erb's uncertainty principle},
journal = {Studia Mathematica},
volume = {233},
year = {2016},
pages = {7-17},
zbl = {06575020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8241-3-2016}
}
Hubert Klaja. On Erb's uncertainty principle. Studia Mathematica, Tome 233 (2016) pp. 7-17. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8241-3-2016/