Moment Problems on Bounded and Unbounded Domains

Octav Olteanu

International Journal of Analysis, 2013, vol. 2013, 1-7

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:524264

DOI: 10.1155/2013/524264

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