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12dee50 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | import OAI.Analysis.AncientFlat.Kernel.SymbolCore
namespace OAI
noncomputable section
open scoped ZeroAtInfty
namespace FlatSimilarity
variable {V : Type} [NormedAddCommGroup V] [InnerProductSpace ℝ V]
[FiniteDimensional ℝ V] [MeasurableSpace V] [BorelSpace V]
def TimeOneMap (Af Bf : V → ℝ) (P : C₀(V,ℂ) →L[ℂ] C₀(V,ℂ)) : Prop :=
∀ d : C₀(V,ℂ), ∃ u : ℝ → C₀(V,ℂ), MovesClassically Af Bf d u ∧
∀ x, P d x=u 1 (Real.exp (-(1:ℝ)/4) • x)
end FlatSimilarity
end
end OAI
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