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A Criterion for a Characteristic Function and a Polyá-Type Criterion for Radial Functions of Several Variables

✍ Scribed by Trigub, R. M.

Book ID
117991129
Publisher
Society for Industrial and Applied Mathematics
Year
1990
Tongue
English
Weight
373 KB
Volume
34
Category
Article
ISSN
0040-585X

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✍ Xingwei Zhou; Weifeng Su 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 67 KB

Suppose that m(ξ ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and |m(ξ In this paper, we prove a generalization: if m(ξ ) has no zeros in [-1 10 , 1 10 ] and |m( 1 6 )| + m(-1 6 )| > 0, then ϕ(x) is an orthogonal function.