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Stability in Truncated Trigonometric Scalar Moment Problems

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Abstract

A truncated and a full trigonometric scalar moment problem in several variables are solved, via an inner non-negative product introduced and an assumed stability of its associated Hilbert spaces. The stability condition is also analyzed in terms of a quadratic equation. Some concrete examples of such stable and unstable products are given. The stability condition for solving truncated, trigonometric moment problems is an adaption of the concept dimension stability by F. H. Vasilescu, introduced for solving Hamburger moment problems.

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Authors and Affiliations

  1. Department of Mathematics, Polytechnica University of Bucharest, 77206, Bucharest, Romania

    Luminita Lemnete-Ninulescu

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  1. Luminita Lemnete-Ninulescu
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Correspondence to Luminita Lemnete-Ninulescu.

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Communicated by Palle Gorgenson.

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Lemnete-Ninulescu, L. Stability in Truncated Trigonometric Scalar Moment Problems. Complex Anal. Oper. Theory 17, 75 (2023). https://doi.org/10.1007/s11785-023-01339-7

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  • DOI: https://doi.org/10.1007/s11785-023-01339-7

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