Manuscript XX-D@1 · XX-D.tex · assumption · c83a526d

Assumption: External one-rod infrared bound

Native infrared conditions and the cutoff-free theorem › External one-contraction products · lines 1398–1409

XX-D@1#ass:external, XX-D@1#eq:externalIR

For the compact tests $g$ in the announced probe class,

\calCw_{g} \in C^{\infty} (J; S (R^{3})) for every J ⋐ I,

with uniform seminorm bounds on bounded families of probes.

Displayed formulas in this passage

XX-D@1#eq:externalIR · line 1402
$\calCw_{g} \in C^{\infty} (J; S (R^{3})) for every J ⋐ I,$