\(\{e^{\pm i(n- 1/4)t} \}_{n\in \mathbb{N}}\) is not a basis of \(L^ 2[- \pi,\pi]\) (Q1900346)
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scientific article; zbMATH DE number 811162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\{e^{\pm i(n- 1/4)t} \}_{n\in \mathbb{N}}\) is not a basis of \(L^ 2[- \pi,\pi]\) |
scientific article; zbMATH DE number 811162 |
Statements
\(\{e^{\pm i(n- 1/4)t} \}_{n\in \mathbb{N}}\) is not a basis of \(L^ 2[- \pi,\pi]\) (English)
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31 October 1995
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It is known that \(\{e^{\pm i(n - 1/4) t}\}_{n \in \mathbb{N}}\) is an exact system. Applying the \(H_0\)-Hankel transform there is shown that it is not a basis of \(L^2 [- \pi, \pi]\).
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Hankel transform
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exact system
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basis
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0.8111729
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0.7887634
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0.77449554
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0.7744045
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0.7710993
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