Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 3, Pages 219-225
doi:10.1155/S1048953397000282

A strong law of large numbers for harmonizable isotropic random fields

Randall J. Swift

Western Kentucky University, Department of Mathematics, Bowling Green 42101, KY, USA

Received 1 September 1996; Revised 1 April 1997

Abstract

The class of harmonizable fields is a natural extension of the class of stationary fields. This paper considers a strong law of large numbers for the spherical average of a harmonizable isotropic random field.