The Kadets 1/4 theorem for polynomials

Details The Kadets 1/4 theorem for polynomials The Kadets 1/4 theorem for polynomials

2007-12-20

arxiv.org/abs/0712.3478v1

Math. Scand. 104 No. 2 (2009) 311-318

Mathematics

Classical Analysis and ODEs

7 pages

Scientific paper

We determine the maximal angular perturbation of the (n+1)th roots of unity
permissible in the Marcinkiewicz-Zygmund theorem on L^p means of polynomials of
degree at most n. For p=2, the result is an analogue of the Kadets 1/4 theorem
on perturbation of Riesz bases of holomorphic exponentials.

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