On a construction method of new moment sequences

Seunghwan Baek; Hayoung Choi; Seonguk Yoo

doi:10.1007/s00605-024-01947-1

On a construction method of new moment sequences

Seunghwan Baek, Hayoung Choi, Seonguk Yoo

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	55-69
Number of pages	15
Journal	Monatshefte fur Mathematik
Volume	205
Issue number	1
DOIs	https://doi.org/10.1007/s00605-024-01947-1
State	Published - Sep 2024

Keywords

15-04
15A29
44A60
Moment sequence
Positive semidefinite
Primary 47A57
Representing measure
Secondary 15B48
Symmetric positive polynomial

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10.1007/s00605-024-01947-1

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KW - Positive semidefinite

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KW - Representing measure

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On a construction method of new moment sequences

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