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Mercier's criterion for a class of M.H.D. Equilibria

✍ Scribed by G. Küppers; H. Tasso


Book ID
103766224
Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
154 KB
Volume
35
Category
Article
ISSN
0375-9601

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A Criterion of Orthogonality for a Class
✍ 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.