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On Positive-Definite Functions

✍ Scribed by Crum, M. M.


Book ID
115451633
Publisher
Oxford University Press
Year
1956
Tongue
English
Weight
505 KB
Volume
s3-6
Category
Article
ISSN
0024-6115

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Strictly Positive Definite Functions
✍ Kuei-Fang Chang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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