Manuscript Oai290-A@1 · Oai290-A.tex · section · 7c6e104a

A conditional normal-jet extension is not a prescription

Why modular boundedness does not close characteristic admission › A conditional normal-jet extension is not a prescription · lines 2272–2290

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Let $U = X \times R^{c}$ , with normal coordinate $q$ , and let $S = X \times {0}$ . Fix a closed $F \subset X$ . For coefficient distributions $a_{α} \in D^{'} (X)$ , define

⟨ E_{α} a_{α}, ψ ⟩ = (- 1)^{∣ α ∣} ⟨ a_{α}, \partial_{q}^{α} ψ (x, 0)⟩ .

A supported finite-normal-order distribution, in this appendix, means a distribution of the explicit form

t = ∣ α ∣ \leq k \sum E_{α} a_{α} .

This definition includes the support condition; normal order alone must not be used to hide an arbitrary off- $S$ distribution.

Displayed formulas in this passage

unlabeled · line 2277
$⟨ E_{α} a_{α}, ψ ⟩ = (- 1)^{∣ α ∣} ⟨ a_{α}, \partial_{q}^{α} ψ (x, 0)⟩ .$
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$t = ∣ α ∣ \leq k \sum E_{α} a_{α} .$

A conditional normal-jet extension is not a prescription

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