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A moment problem on rational numbers. (English) Zbl 1378.43003
Various positive definite functions defined on an interval in $$\mathbb R$$ have been characterized by their Fourier transform or Laplace transform. The paper under review gives a similar characterization of positive definite functions defined on the intersection of an interval with a semiadditive subgroup of the rationals.
##### MSC:
 43A35 Positive definite functions on groups, semigroups, etc. 44A60 Moment problems 47A57 Linear operator methods in interpolation, moment and extension problems
##### Keywords:
moment problem; positive definite function; semigroup
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