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Positive definite functions on semilattices
[article]
2020
arXiv
pre-print
We introduce a notion of positive definiteness for functions f:P→R defined on meet semilattices (P,≼,∧) and prove several properties for these functions. In addition, we utilize the LDL^ T decomposition of meet matrices in order to explore the properties of multivariate positive definite arithmetic functions f:Z_+^d→R. Finally, we give a series of examples and counterexamples of positive definite functions.
arXiv:1804.03047v2
fatcat:lod22x7xmjfbpc5bmxp2t26uou