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Comparing the Different RKHSs \(\mathcal{H}_{F}\) and \(\mathcal{H}_{K}\)

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Extensions of Positive Definite Functions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2160))

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Abstract

In the earlier chapters we have studied extension problems for particular locally defined positive definite functions F. In each case, the p.d. function F was fixed. Many classes of p.d. functions were studied but not compared. Indeed, the cases we studied have varied between different levels of generality, and varied between cases separated by different technical assumptions. All our results, in turn, have been motivated by explicit applications.

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Jorgensen, P., Pedersen, S., Tian, F. (2016). Comparing the Different RKHSs \(\mathcal{H}_{F}\) and \(\mathcal{H}_{K}\) . In: Extensions of Positive Definite Functions. Lecture Notes in Mathematics, vol 2160. Springer, Cham. https://doi.org/10.1007/978-3-319-39780-1_8

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