Extends Mercer's theorem to Sobolev spaces H^k with uniform convergence for k>d and refined Karhunen-Loève expansions for weakly differentiable random fields.
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Sobolev-Mercer Expansions and Applications to Stochastic Processes
Extends Mercer's theorem to Sobolev spaces H^k with uniform convergence for k>d and refined Karhunen-Loève expansions for weakly differentiable random fields.