Journal of Applied Mathematics and Stochastic Analysis 
Volume 8 (1995), Issue 2, Pages 101-114
doi:10.1155/S1048953395000116

Representation and prediction for locally harmonizable isotropic random fields

Randall J. Swift

 Western Kentucky University, Department of Mathematics, Bowling Green 42101, KY, USA
Received 1 November 1994; Revised 1 March 1995

Abstract

The class of harmonizable fields is a natural extension of the class of stationary fields. This paper considers fields whose increments are harmonizable and isotropic. Spectral representations are obtained for locally harmonizable isotropic fields. A linear least squares prediction for locally harmonizable isotropic fields is considered.