In this paper we give solutions to Hamburger moment problems with missing entries. The problem of completing partial positive sequences is considered. The main result is a characterization of positive definite completable patterns, namely patterns that guarantee the existence of Hamburger moment completion of a partial positive definite sequence. Moreover, several patterns which are not positive definite completable are given.
Bibliographical notePublisher Copyright:
© 2015 Elsevier Inc. All rights reserved.
- MSC primary 15A83
- secondary 15B48