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On positive positive-definite functions and Bochner’s Theorem

✍ Scribed by Aicke Hinrichs; Jan Vybíral


Book ID
108163832
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
230 KB
Volume
27
Category
Article
ISSN
0885-064X

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📜 SIMILAR VOLUMES


Strictly Positive Definite Functions
✍ Kuei-Fang Chang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 490 KB

We give a complete characterization of the strictly positive definite functions on the real line. By Bochner's theorem, this is equivalent to proving that if the separated sequence of real numbers [a n ] describes the points of discontinuity of a distribution function, there exists an almost periodi