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One-Dimensional Moment Problems: Determinacy

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The Moment Problem

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 277))

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Abstract

The main aim of this chapter is to develop some very useful results concerning the uniqueness of solutions of one-dimensional Hamburger and Stieltjes moment problems. These are Carleman’s conditions (4.2) and (4.3) in Theorem 4.3, which are sufficient for determinacy, and Krein’s conditions (4.19) and (4.23) in Theorems 4.14 and 4.17, which provide necessary criteria.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Leipzig, Leipzig, Germany

    Konrad Schmüdgen

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  1. Konrad Schmüdgen
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Schmüdgen, K. (2017). One-Dimensional Moment Problems: Determinacy. In: The Moment Problem. Graduate Texts in Mathematics, vol 277. Springer, Cham. https://doi.org/10.1007/978-3-319-64546-9_4

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