Einige Bemerkungen über die Fortsetzung positiv definiter Funktionen (Q1064493)
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scientific article; zbMATH DE number 3919019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Einige Bemerkungen über die Fortsetzung positiv definiter Funktionen |
scientific article; zbMATH DE number 3919019 |
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Einige Bemerkungen über die Fortsetzung positiv definiter Funktionen (English)
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1984
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The author considers some extension problems of continuous, positive definite functions on an interval (-a,a) by the convolution method. Let f be a continuous, positive definite function with support in (-a,a) and \(\mu\) be a finite Borel measure supported in \(\{\) \(0\}\) \(\cup (-\infty,- a)\cup (a,\infty)\). Then the convolution \(f^*\mu\) is discussed and as an application a result of P. Lévy on the periodic extension of f is given.
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positive definite functions
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convolution method
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Borel measure
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0.88587034
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0.88587034
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0.8744013
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0.87124795
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