 Test-function pairing with a Gaussian free field

ID: test-function-pairing-with-a-gaussian-free-field

ϕ

D

, let

f_{ϕ} = - 2 π Δ^{- 1} ϕ \in H_{0}^{1} (D)

(h, ϕ) := (h, f_{ϕ})_{\nabla}

\iint_{D \times D} ϕ (x) G_{D} (x, y) ϕ (y) d x d y .

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