Non-similarity of Walsh and trigonometric systems (Q2703084)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-similarity of Walsh and trigonometric systems |
scientific article |
Statements
Non-similarity of Walsh and trigonometric systems (English)
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30 October 2001
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Walsh-Paley system
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best constants
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equivalent bases
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Riemann norms
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It is proved that in \(L_p\) \((p\neq 2)\) the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. It follows from this result that the Walsh and trigonometric systems are equivalent in \(L_p\) only when \(p=2\).
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