On \(\alpha\)-times integrated cosine functions \((\alpha \in\mathbb{R}^+)\) (Q2744545)
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scientific article; zbMATH DE number 1649190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\alpha\)-times integrated cosine functions \((\alpha \in\mathbb{R}^+)\) |
scientific article; zbMATH DE number 1649190 |
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18 May 2003
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integrated cosine functions
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quasi-pseudo-resolvent
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infinitesimal generators
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On \(\alpha\)-times integrated cosine functions \((\alpha \in\mathbb{R}^+)\) (English)
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The main result of this paper is the characterisation of exponentially bounded \(\alpha\)-integrated cosine functions, for \(\alpha \geq 0\). This result is well known for \(n\)-times integrated cosine functions, where \(n\in \mathbb{N}\).
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0.8216227293014526
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