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/