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The Markov property for generalized gaussian random fields

G. KallianpurV. Mandrekar — 1974

Annales de l'institut Fourier

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.

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