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LeanPool.HighContrastHomogenization.Support.Sobolev.CubeEmbedding.FoldExtensionFiniteP.Construction

Even-fold Sobolev extension construction #

Imported from the Apache-2.0 CoarseGraining development at commit c7ddd76c08ade64fed1b8d2ca51be14dfee8deb4.

The construction uses the geometry, approximation and transport estimates from the companion basic module.

noncomputable def HCPolySupport.foldExtensionFiniteP {m : ℕ} (lo hi : Vec (m + 1)) (hlt : ∀ (k : Fin (m + 1)), lo k < hi k) (p : FiniteLpExponent) (u : W1pFunction (Box lo hi) p.exponent) :

The finite-p even-fold extension of a Sobolev function on an open axis box.

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