English

On determinacy/indeterminacy of Moment Problems

Classical Analysis and ODEs 2016-04-22 v1

Abstract

This paper treat determinacy of strong moment problems in part I and indeterminacy of strong moment problems in part II. This paper is a summary of the following papers: [1] Ald\'en. E., Determinacy of Strong Moment Problems. [2] On Indeterminacy of Strong Moment Problems. [3] Indeterminacy of Strong Moment Problems. This paper will treat determinacy/indeterminacy of the strong Stieltjes and Hamburger moment problems, part I. Indeterminacy, part II, for certain class of distribution functions. We conclude by proving a theorem for indeterminacy of the strong problems above for general distribution functions.

Keywords

Cite

@article{arxiv.1604.06263,
  title  = {On determinacy/indeterminacy of Moment Problems},
  author = {Erik Aldén},
  journal= {arXiv preprint arXiv:1604.06263},
  year   = {2016}
}

Comments

1987:10. 1988:2. 1995:7

R2 v1 2026-06-22T13:37:39.557Z