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Moment Problem and Spectral Theorem

✍ Scribed by Miloslav Duchoň; Sylvia Pulmannová


Book ID
110327880
Publisher
Springer
Year
2002
Tongue
English
Weight
61 KB
Volume
41
Category
Article
ISSN
0020-7748

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On Krein's Theorem for Indeterminacy of
✍ Henrik L. Pedersen 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 211 KB

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