We develop classification results for max–stable processes, based on their spectral representations. The structure of max–linear isometries and minimal spectral representations play important roles. We propose a general classification strategy for measurable max–stable processes based on the notion of co–spectral functions. In particular, we discuss the spectrally continuous–discrete, the conse...

We develop classification results for max–stable processes, based on their spectral representations. The structure of max–linear isometries and minimal spectral representations play important roles. We propose a general classification strategy for measurable max–stable processes based on the notion of co–spectral functions. In particular, we discuss the spectrally continuous–discrete, the conse...

In this paper we shall give a necessary and sufficient condition for a multivariate stationary stochastic process to be completely regular. For the scalar case the description of completely regular processes was obtained by Helson an Sarason, see [2, 9]. Almost none of the scalar methods is available in the vector situation. The explanation is simple. Our problem will be reduced to verifying L2...