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On a construction method of new moment sequences
- Baek, Seunghwan;
- Choi, Hayoung;
- Yoo, Seonguk
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0초록
In this paper we provide a way to construct new moment sequences from a given moment sequence. An operator based on multivariate positive polynomials is applied to get new moment sequences. A class of new sequences is corresponding to a unique symmetric polynomial; if this polynomial is positive, then the new sequence becomes again a moment sequence. We will see for instance that a new sequence generated from minors of a Hankel matrix of a Stieltjes moment sequence is also a Stieltjes moment sequence.
키워드
Moment sequence; Representing measure; Positive semidefinite; Symmetric positive polynomial
- 제목
- On a construction method of new moment sequences
- 저자
- Baek, Seunghwan; Choi, Hayoung; Yoo, Seonguk
- 발행일
- 2024-09
- 유형
- Article
- 권
- 205
- 호
- 1
- 페이지
- 55 ~ 69