Manuscript XV-B@2 · XV-B.tex · definition · 4d3f12e8

Definition: A specified finite normal-jet module

Finite normal jets and complete reconstruction-null tests › Smooth multiplication and the specified module · lines 877–890

XV-B@2#def:jetmodule, XV-B@2#eq:jetrec

Fix $T \in D^{'} (X)$ and $r \in N$ . Let

P_{r}^{jet} (T) = ∣ α ∣ \leq r ⨁ C^{\infty} (U)

and define

Rec_{T} (a) = ∣ α ∣ \leq r \sum a_{α} E_{α} T .

All products are multiplication by smooth functions.

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