Some counterexamples to subexponential growth of orthogonal polynomials
Volume 116 / 1995
Studia Mathematica 116 (1995), 197-206
DOI: 10.4064/sm-116-2-197-206
Abstract
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.