Manuscript Em01-D@2 · Em01-D-v2.tex · section · d3b49151

Distributional dilation

The complete origin-germ certificate › Distributional dilation · lines 1276–1290

For $u \in D^{'} (R^{8})$ and $s > 0$ , define

⟨ u (s \cdot), ψ ⟩ = s^{- 8} ⟨ u, ψ (\cdot / s)⟩ .

In particular,

⟨ u (s \cdot), ρ ⟩ = u (ρ_{s}) .

This convention fixes the signs and powers in the coefficient calculation.

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