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On Krein's Theorem for Indeterminacy of the Classical Moment Problem

✍ Scribed by Henrik L. Pedersen

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 211 KB
Volume: 95
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1998.3188

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✦ Synopsis

Krein's sufficient condition for indeterminacy states that a positive measure on the real line, having moments of all orders, is indeterminate provided it has density with respect to Lebesgue measure and that this density has a finite logarithmic integral. We generalize this result and we also give a discrete analogue.

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