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A combinatorial criterion for the vanishing of Pontryagin classes

✍ Scribed by Hiroshi Morimoto


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
904 KB
Volume
53
Category
Article
ISSN
0166-8641

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A Criterion of Orthogonality for a Class
✍ Xingwei Zhou; Weifeng Su πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 67 KB

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