Integral representations of positive definite functions on convex sets of certain semigroups of rational numbers (Q1752018)
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scientific article; zbMATH DE number 6873760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral representations of positive definite functions on convex sets of certain semigroups of rational numbers |
scientific article; zbMATH DE number 6873760 |
Statements
Integral representations of positive definite functions on convex sets of certain semigroups of rational numbers (English)
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25 May 2018
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The author generalizes to a function on an open convex subset \(\Omega\) of a certain semigroup of \(\mathbb{Q}^2\) a result of H. Glöckner. More precisely he proves that any positive definite real function on \(\Omega\) has an integral representation. He generalizes this results to operator-valued functions on \(\Omega\).
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moment problem
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positive definite function
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semigroup
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