Positive definiteness and the Stolarsky invariance principle

In this paper we elaborate on the interplay between energy optimization, positive definiteness, and discrepancy. In particular, assuming the existence of a K-invariant measure μ with full support, we show that conditional positive definiteness of a kernel K is equivalent to a long list of other prop...

Full description

Bibliographic Details
Main Authors: Bilyk, D. (Author), Matzke, R.W (Author), Vlasiuk, O. (Author)
Format: Article
Language:English
Published: Academic Press Inc. 2022
Subjects:
Online Access:View Fulltext in Publisher