A necessary condition for the completeness of the system \(\{e^{-\lambda_n t}\mid\operatorname{Re}\lambda_n > 0\}\) in the spaces \(C _{0}(\mathbb R_{+})\) and \(L^p (\mathbb R_{+})\), \(p > 2\) (Q2518038)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary condition for the completeness of the system \(\{e^{-\lambda_n t}\mid\operatorname{Re}\lambda_n > 0\}\) in the spaces \(C _{0}(\mathbb R_{+})\) and \(L^p (\mathbb R_{+})\), \(p > 2\) |
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Statements
A necessary condition for the completeness of the system \(\{e^{-\lambda_n t}\mid\operatorname{Re}\lambda_n > 0\}\) in the spaces \(C _{0}(\mathbb R_{+})\) and \(L^p (\mathbb R_{+})\), \(p > 2\) (English)
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12 January 2009
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sequence of exponentials
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the spaces \(C_0 (\mathbb R_{+})\) and \(L^{p}(\mathbb R_{+})\)
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Szász condition
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Hardy class of functions
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Bernstein's inequality
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analytic function
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