Characterization theorems for the Gneiting class of space-time covariances

Abstract

We characterize the Gneiting class of space-time covariance functions and give more relaxed conditions on the functions involved. We then show necessary conditions for the construction of compactly supported functions of the Gneiting type. These conditions are very general since they do not depend on the Euclidean norm. © 2011 ISI/BS.