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2016•arXiv (Cornell University)Open access

On determinacy/indeterminacy of Moment Problems

Erik Aldén

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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] Aldén. 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.

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What this paper is about

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] Aldén. 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.

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Available 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] Aldén. 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.

Key concepts: Determinacy, Indeterminacy (philosophy), Moment (physics), Class (philosophy), Mathematics, Moment problem, Mathematical economics, Calculus (dental)

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