Speaker : Seonguk Yoo (Gyeongsang National University)
Title : Bivariate Truncated Moment Problems and the Hadamard Product
Time : 2018-08-30 (Thu) 10:00 - 11:00
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: 1. Up to date, the best solution to the truncated moment problem (TMP) is probably the Flat Extension Theorem. It says 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 sequence 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 the TMP instead of an extension; in doing so, we can find an economical solution to the TMP. Using a new approach through the Hadamard product, the author would like to introduce more techniques related to moment matrix decompositions.