Sample path properties of Gaussian random fields on the sphere

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  Let T = {T(x),x∈ 2 S2} be a Gaussian random field with values in Rd defined by T(x)=(T1(x),……,Td(x)),x ∈2 S2; where T1,……,Td are independent copies of a real-valued,centered,isotropic Gaussian random field T0.
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