Displaying similar documents to “A gaussian sheet connected to symmetric Markov chains”

The Markov property for generalized gaussian random fields

G. Kallianpur, V. Mandrekar (1974)

Annales de l'institut Fourier

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We obtain necessary and sufficient conditions in order that a Gaussian process of many parameters (more generally, a generalized Gaussian random field in R n ) possess the Markov property relative to a class of open sets. The method adopted is the Hilbert space approach initiated by Cartier and Pitt. Applications are discussed.