How far is an ultraflat sequence of unimodular polynomials from being conjugate-reciprocal?
نویسندگان
چکیده
منابع مشابه
How Far Is an Ultraflat Sequence of Unimodular Polynomials from Being Conjugate-reciprocal?
In this paper we study ultraflat sequences (Pn) of unimodular polynomials Pn ∈ Kn in general, not necessarily those produced by Kahane in his paper [Ka]. We examine how far is a sequence (Pn) of unimodular polynomials Pn ∈ Kn from being conjugate reciprocal. Our main results include the following. Theorem. Given a sequence (εn) of positive numbers tending to 0, assume that (Pn) is a (εn)-ultraf...
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Let D be the open unit disk of the complex plane. Its boundary, the unit circle of the complex plane, is denoted by ∂D. Let Kn := ( pn : pn(z) = n X k=0 akz , ak ∈ C , |ak| = 1 ) . The class Kn is often called the collection of all (complex) unimodular polynomials of degree n. Given a sequence (εn) of positive numbers tending to 0, we say that a sequence (Pn) of unimodular polynomials Pn ∈ Kn i...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2001
ISSN: 0026-2285
DOI: 10.1307/mmj/1008719772