Integral representations of positive definite functions on convex sets of certain semigroups of rational numbers

zbMath1393.43004MaRDI QIDQ1752018

Koji Furuta

Publication date: 25 May 2018

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1524708082

zbMATH Keywords

moment problemsemigrouppositive definite function

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60) Positive definite functions on groups, semigroups, etc. (43A35)

Cites Work

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• The representation of functions as Laplace-Stieltjes integrals
• The moment problem on divisible abelian semigroups
• A moment problem on rational numbers
• Positive definite functions on infinite-dimensional convex cones

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