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Moment Problems on Bounded and Unbounded Domains

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  • Octav Olteanu

Abstract

Using approximation results, we characterize the existence of the solution for a two-dimensional moment problem in the first quadrant, in terms of quadratic forms, similar to the one-dimensional case. For the bounded domain case, one considers a space of complex analytic functions in a disk and a space of continuous functions on a compact interval. The latter result seems to give sufficient (and necessary) conditions for the existence of a multiplicative solution.

Suggested Citation

  • Octav Olteanu, 2013. "Moment Problems on Bounded and Unbounded Domains," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, January.
  • Handle: RePEc:hin:ijanal:524264
    DOI: 10.1155/2013/524264
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    References listed on IDEAS

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    1. Kleiber, Christian & Stoyanov, Jordan, 2013. "Multivariate distributions and the moment problem," Journal of Multivariate Analysis, Elsevier, vol. 113(C), pages 7-18.
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    Cited by:

    1. Octav Olteanu, 2020. "From Hahn–Banach Type Theorems to the Markov Moment Problem, Sandwich Theorems and Further Applications," Mathematics, MDPI, vol. 8(8), pages 1-16, August.

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