Manuscript Em01-B@3 · Em01-B-v3.tex · section · 69189992

Definition and exact descent

Intrinsic regularization and local canonical convergence › Definition and exact descent · lines 1039–1057

Em01-B@3#eq:F

Fix $U ⋐ W$ . Choose $χ \in C_{c}^{\infty} (R^{8})$ equal to one near $f (U)$ , and $ρ \in C_{c}^{\infty} (R^{8})$ with $\int ρ = 1$ . Put

ρ_{δ} (x) = δ^{- 8} ρ (x / δ), C_{δ} = ρ_{δ} * (χ C) .

Define

F_{δ} (K) = i V (K, C_{δ}) ∣_{U} .

The smoothing parameter $δ$ is not the frozen switch width $ε$ .

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