Many of the results of Part III are significantly easier to interpret when specialized down to cases under which stationarity holds.
Even in the nonstationary case, many of the detailed computations of Part III can be considered as deriving from a “local conversion to pseudostationarity, ” or, even more so, to pseudoisotropy. This will be taken care of there via the “induced Riemannian metric”defined in Section 12.2. Knowledge of what happens under stationarity is therefore important for knowing what to do in the general case.
KeywordsCovariance Function Gaussian Process Spherical Harmonic Spectral Measure Spectral Representation
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