Abstract
Necessary and sufficient conditions are given for a certain class of homogeneous multicomponent Gaussian generalized stochastic fields to possess a Markov property equivalent to Nelson's. The class of Markov fields so characterized has as a subclass the class of Markov fields which lead by Nelson's Reconstruction Theorem to some covariant (free) quantum fields.
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Communicated by H. Araki
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Ekhaguere, G.O.S. A characterization of Markovian homogeneous multicomponent Gaussian fields. Commun.Math. Phys. 73, 63–77 (1980). https://doi.org/10.1007/BF01942694
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DOI: https://doi.org/10.1007/BF01942694