Abstract
In this paper, we introduce the notion of the Weinstein positive definite functions and we state a version of Bochner’s theorem. Furthermore, we study the strictly Weinstein positive definite functions and we present a sufficient condition for a function to be strictly Weinstein positive definite.
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Mehrez, K. Weinstein positive definite functions. Positivity 22, 341–356 (2018). https://doi.org/10.1007/s11117-017-0514-9
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DOI: https://doi.org/10.1007/s11117-017-0514-9
Keywords
- Positive definite functions
- Weinstein positive definite functions
- Strictly Weinstein positive definite functions
- Bochner theorem