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Haskins's Momental Theorem and Its Connection with Stieltjes's Problem of Moments

✍ Scribed by Edward B. Van Vleck


Book ID
123945229
Publisher
American Mathematical Society
Year
1917
Tongue
English
Weight
398 KB
Volume
18
Category
Article
ISSN
0002-9947

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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