Journal of Applied Mathematics and Stochastic Analysis
Volume 8 (1995), Issue 2, Pages 101-114

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

Copyright © 1995 Randall J. Swift. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.