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Abstract: If f(t) = converges for all t 2 IR with all coefficients a k 0, then the function f(! x; y ?) is positive definite on H \Theta H for any inner product space H . Set K = fk : a k ? 0g. We show that f(! x; y ?) is strictly positive definite if and only if K contains the index 0 plus an infinite number of even integers and an infinite number of odd integers. (Update)
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BibTeX entry: (Update)
@misc{ product-strictly,
author = "Real Inner Product",
title = "Strictly Positive Definite Functions on a",
url = "citeseer.ist.psu.edu/766100.html" }
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1 Allan Pinkus Department of Mathematics Technion (context) - Vapnik - 1995
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