Manuscript Em02-A@6 · Em02-A-v6.tex · section · cb2f0a9a

What may be transferred locally

Identification first: the physical input remains unresolved › What may be transferred locally · lines 307–330

If an actual local identity $k = k$ has been proved on a neighborhood of $supp ζ$ , then

⟨ T_{c} (k), ζ Φ ⟩ = ⟨ T_{c} (k), ζ Φ ⟩

for every smooth crossed coefficient $c$ . The vertex test and all its derivatives remain supported there.

The supplied Em01-C plateau statement is such an internal identity on its stated retained patch EmC. Applying it requires identifying the chosen patch, switch, and weighted source with its hypotheses. It does not determine the advanced root from local constancy of $f$ , and it does not provide a smoothing gain by itself.

A missing frozen presentation space is a separate operator obligation. It does not prevent a fixed-kernel calculation once the actual values have been identified PatchII.

Displayed formulas in this passage

unlabeled · line 312
$⟨ T_{c} (k), ζ Φ ⟩ = ⟨ T_{c} (k), ζ Φ ⟩$