Geodesic
A Generalization of Schep's Theorem
Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 873-887.

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Schep proved that, for a piecewise linear function with nodes at integer points, positive definiteness on $\mathbb{R}$ is equivalent to positive definiteness on $\mathbb{Z}$. In this paper, a similar theorem for an entire function of exponential type is proved, and a generalization Schep's theorem is obtained.
Keywords: positive definite functions, Bochner–Khinchine theorem, piecewise linear functions with equidistant nodes.
Mots-clés : Fourier transform 
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V. P. Zastavnyi. A Generalization of Schep's Theorem. Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 873-887. http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a6/

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