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UNIVARIATE TRUNCATED MOMENT PROBLEMS VIA WEAKLY ORTHOGONAL POLNOMIAL SEQUENCESUNIVARIATE TRUNCATED MOMENT PROBLEMS VIA WEAKLY ORTHOGONAL POLNOMIAL SEQUENCES
- Other Titles
- UNIVARIATE TRUNCATED MOMENT PROBLEMS VIA WEAKLY ORTHOGONAL POLNOMIAL SEQUENCES
- Authors
- 유성욱
- Issue Date
- Jan-2024
- Publisher
- 영남수학회
- Keywords
- moment problem; recursively generated; consistency; weakly orthogonal polynomial sequence
- Citation
- East Asian Mathematical Journal, v.40, no.1, pp 25 - 36
- Pages
- 12
- Indexed
- KCI
- Journal Title
- East Asian Mathematical Journal
- Volume
- 40
- Number
- 1
- Start Page
- 25
- End Page
- 36
- ISSN
- 1226-6973
2287-2833
- 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.
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