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A Criterion of Orthogonality for a Class of Scaling Functions

✍ Scribed by Xingwei Zhou; Weifeng Su

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
67 KB
Volume
8
Category
Article
ISSN
1063-5203

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✦ Synopsis

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.

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