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The Real Zeros and Value Distributions of Real Trigonometrical Polynomials

✍ Scribed by Littlewood, J. E.

Book ID: 120098536
Publisher: Oxford University Press
Year: 1966
Tongue: English
Weight: 157 KB
Volume: s1-41
Category: Article
ISSN: 0024-6107
DOI: 10.1112/jlms/s1-41.1.336

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Let p n ðxÞ be the orthonormal polynomials associated to a measure dm of compact support in R: If EesuppðdmÞ; we show there is a d40 so that for all n; either p n or p nþ1 has no zeros in ðE À d; E þ dÞ: If E is an isolated point of suppðmÞ; we show there is a d so that for all n; either p n or p nþ