[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2020.006

BINARY TRUNCATED MOMENT PROBLEMS AND THE HADAMARD PRODUCT

Yoo, Seonguk (Department of Mathematics Education and RINS, Gyeongsang National University)

Publication Information

East Asian mathematical journal / v.36, no.1, 2020 , pp. 61-71 More about this Journal

Abstract

Up to the present day, the best solution we can get to the truncated moment problem (TMP) is probably the Flat Extension Theorem. It says that if the corresponding moment matrix of a moment sequence admits a rank-preserving positive extension, then the sequence has a representing measure. However, constructing a flat extension for most higher-order moment sequences cannot be executed easily because it requires to allow many parameters. Recently, the author has considered various decompositions of a moment matrix to find a solution to TMP instead of an extension. Using a new approach with the Hadamard product, the author would like to introduce more techniques related to moment matrix decompositions.

Keywords

Moment problem; Hadamard product; Rank-one decomposition;

Citations & Related Records

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