An analogue of the Paley-Wiener theorem (Q1397538)
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scientific article; zbMATH DE number 1960492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analogue of the Paley-Wiener theorem |
scientific article; zbMATH DE number 1960492 |
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An analogue of the Paley-Wiener theorem (English)
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11 August 2003
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Let \(G\) be a locally compact abelian group with Haar measure \(\mu\) and \(L^p(G)\) the space of integrable functions of degree \(p\). If \(p=2\) and \(G\) is connected, an analogue of the Paley-Wiener theorem is given. For the special case \(G=T_n \) \((n\)-dimensional torus, \(n>1)\) the corollary was obtained earlier.
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locally compact abelian group
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