East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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UNIVARIATE TRUNCATED MOMENT PROBLEMS VIA WEAKLY ORTHOGONAL POLYNOMIAL SEQUENCES

  • Seonguk Yoo (Department of Mathematics Education and RINS, Gyeongsang National University)
  • Received : 2023.09.06
  • Accepted : 2023.12.13
  • Published : 2024.01.31
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Abstract

Full univariate moment problems have been studied using continued fractions, orthogonal polynomials, spectral measures, and so on. On the other hand, the truncated moment problem has been mainly studied through confirming the existence of the extension of the moment matrix. A few articles on the multivariate moment problem implicitly presented about some results of this note, but we would like to rearrange the important results for the existence of a representing measure of a moment sequence. In addition, new techniques with orthogonal polynomials will be introduced to expand the means of studying truncated moment problems.

Keywords

Acknowledgement

The author is deeply grateful to the referees for many suggestions that led to significant improvements in the presentation.

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