Speaker : Hayoung Choi (ShanghaiTech University)
Title : Moments, Submoments, and Completions
Time : 2018-08-30 (Thu) 13:30 - 14:30
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: 2. In this talk I give solutions to the Hamburger moment problems with missing entries. The problem of completing a partially positive sequence to the Hamburger moment sequence is considered. The main result is a characterization of certain Hamburger moment completable patterns, namely specified entries with certain patterns guarantee the existence of the Hamburger moment completion of a partially positive sequence. This problem is equivalent to positive (semi)definite Hankel matrix completion problems. Moreover, several results for a connection between Hamburger moment sequences and their moment subsequences are given.