Sparse Hamburger Moment Sequences
Saroj Aryal, Hayoung Choi, Farhad Jafari

TL;DR
This paper investigates sparse subsequences of Hamburger moment sequences, focusing on their algebraic properties and the problem of completing these subsequences to full moment sequences.
Contribution
It introduces a study of sparse Hamburger moment subsequences and addresses the completion problem, extending algebraic characterizations to these cases.
Findings
Characterization of sparse Hamburger moment subsequences
Analysis of the completion problem for these subsequences
Extension of algebraic frameworks to sparse cases
Abstract
Putinar and Vasilescu [6] have given an algebraic characterization of Hamburger moment sequences in several variables. In this paper we study some sparse moment subsequences of Hamburger moment sequences and consider the problem of completion of these moment subsequences.
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Taxonomy
TopicsDendrimers and Hyperbranched Polymers · Advanced Combinatorial Mathematics · Supramolecular Self-Assembly in Materials
