Manuscript XIV-J@1 · XIV-J.tex · section · 1c0e72ca

Normal-jet insertion

J2b: the supported response sector as finite normal jets › Normal-jet insertion · lines 1040–1052

XIV-J@1#eq:Ejet

For a distribution $b$ on $S_{0}$ and a multiindex $α \in N^{5}$ , define

⟨ E_{α} b, φ ⟩ := (- 1)^{∣ α ∣} ⟨ b (s), \partial_{n}^{α} φ (s, 0) ⟩ .

Thus $E_{α} b = b (s) \partial_{n}^{α} δ^{(5)} (n)$ in the chosen coordinates.

Displayed formulas in this passage

XIV-J@1#eq:Ejet · line 1044
$⟨ E_{α} b, φ ⟩ := (- 1)^{∣ α ∣} ⟨ b (s), \partial_{n}^{α} φ (s, 0) ⟩ .$