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A note on functions preserving positive definiteness
Published 9 Dec 2019 in math.FA | (1912.04340v2)
Abstract: The aim of the paper is to give a full characterization of functions f from I into the real line R (where I is an interval in R that satisfies certain natural conditions) such that for any I-valued positive definite kernel K defined on an arbitrary set X the kernel formed by composing f with K is positive definite as well.
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