Space-time radial basis functions (Q1609119)

Radial basis functions have turned out in practice to be extremely useful and interesting to analyse for theoretical study. They are approximations that treat all components of the underlying -- possibly high-dimensional -- space equal, and, while this is usually an additional advantage, it is not, when space-time is studied. Therefore the authors of this paper analyse modified radial basis functions, especially products of positive definite radial basis functions, that are amenable to employment in space-time (e.g. physical) applications.