Random fields on Riemannian manifolds: A constructive approach (Q1096951)

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scientific article; zbMATH DE number 4032675
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Random fields on Riemannian manifolds: A constructive approach
scientific article; zbMATH DE number 4032675

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    Random fields on Riemannian manifolds: A constructive approach (English)
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    1986
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    We extend to ``Euclidean'' fields on a wide class of Riemannian manifolds two results which have proven to be crucial in the construction of interacting quantum fields in the flat case, namely local regularity properties of the free covariance in two dimensions and Osterwalder- Schrader positivity.
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    Riemannian manifolds
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    interacting quantum fields
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    local regularity properties
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    Osterwalder-Schrader positivity
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