Equicontinuous families of operators generating mean periodic maps (Q1848121)
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scientific article; zbMATH DE number 1822109
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equicontinuous families of operators generating mean periodic maps |
scientific article; zbMATH DE number 1822109 |
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Equicontinuous families of operators generating mean periodic maps (English)
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31 October 2002
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Summary: The existence of mean periodic functions in the sense of L. Schwartz, generated, in various ways, by an equicontinuous group \(U\) or an equicontinuous cosine function \(C\) determines the spectral structure of the infinitesimal generator of \(U\) or \(C\). In particular, it is proved under fairly general hypotheses that the spectrum has no accumulation point and that the continuous spectrum is empty.
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mean periodicity
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equicontinuous groups
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Schwartz spectrum
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