spatial prediction of spherical intrinsic processes

‎in this paper‎, ‎we carry over the concept of the spatial prediction of intrinsic processes from the‎ ‎euclidean space to the sphere‎, ‎where low-frequency truncated harmonics replace derivative-based penalty‎. ‎‎in addition a systematic study is made of the properties of an spherical kriging. ‎this permits a more ‎flexible interpolation and smoothing of intrinsic processes in the sphere. finally the smoothing and interpolation issues on the sphere are considered by a simulation study.