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- W3184993102 abstract "In this paper, we investigate the full multidimensional moment problem for discrete measure using Vasilescu's idempotent approach based on Λ-multiplicative elements with respect to the associated square positive Riesz functional Λ. We give a sufficient condition for the existence of a discrete integral representation of the Riesz functional Λ, which turns out to be necessary in the bounded shift space case (in fact, it suffices to assume the density of polynomials in the corresponding L2-space). We pay special attention to Λ-multiplicative elements, providing several criteria guaranteeing that they are characteristic functions of single point sets. We also give an example showing that Λ-multiplicative elements may not be characteristic functions of single point sets." @default.
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- W3184993102 date "2021-11-01" @default.
- W3184993102 modified "2023-09-27" @default.
- W3184993102 title "Idempotents and moment problem for discrete measure" @default.
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- W3184993102 doi "https://doi.org/10.1016/j.laa.2021.07.012" @default.
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