We give examples of polynomials p(n) orthonormal with respect to a measure μ on ⨍ such that the sequence {p(n,x)} has exponential lower bound for some points x of supp μ. Moreover, the set of such points is dense in the support of μ.
@article{bwmeta1.element.bwnjournal-article-smv116i2p197bwm,
author = {Marcin Zygmunt},
title = {Some counterexamples to subexponential growth of orthogonal polynomials},
journal = {Studia Mathematica},
volume = {113},
year = {1995},
pages = {197-206},
zbl = {0868.42010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv116i2p197bwm}
}
Zygmunt, Marcin. Some counterexamples to subexponential growth of orthogonal polynomials. Studia Mathematica, Tome 113 (1995) pp. 197-206. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv116i2p197bwm/
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