We present the series expansion and the moving average representation of the isotropic Gaussian random field with homogeneous increments, making use of concepts of the theory of vibrating strings. We illustrate our results using the example of L

,
CWI
CWI. Probability, Networks and Algorithms [PNA]
Stochastics

Dzhaparidze, K., van Zanten, H., & Zareba, P. (2005). Representations of isotropic random fields with homogeneous increments. CWI. Probability, Networks and Algorithms [PNA]. CWI.