Manuscript XVI-K@1 · XVI-K.tex · section · aa7553bb

Homogeneity, inventory, and the finite graded span

Homogeneity, inventory, and the finite graded span · lines 951–968

For a distribution $t$ , write

t^{[a]} (ψ) = t (ψ_{a}), ψ_{a} (z) = a^{- 4} ψ (z / a), a > 0.

The scaling degree at zero is

sd (t) = in f {ω : a^{ω} t^{[a]} ⟶ 0 as a ↓ 0} .

On the punctured domain, tests are restricted accordingly. This is the scaling-degree convention of BF (Section 5.1).

Displayed formulas in this passage

unlabeled · line 954
$t^{[a]} (ψ) = t (ψ_{a}), ψ_{a} (z) = a^{- 4} ψ (z / a), a > 0.$
unlabeled · line 961
$sd (t) = in f {ω : a^{ω} t^{[a]} ⟶ 0 as a ↓ 0} .$