Manuscript IX-E-2@1 · IX-E-2.tex · section · e70d9077

Pairing conventions and the commutator sign audit

Pairing conventions and the commutator sign audit · lines 492–513

IX-E-2@1#eq:variables

Set

τ = t - s, u = t + s, z = x - y, R = ∣ z ∣.

Distributional pairing is complex-bilinear: no conjugation of the test argument is implicit. Distributional conjugation is defined by

⟨ T, χ ⟩ = ⟨ T, χ ⟩, Im T = \frac{T - T}{2 i} .

Kernel conjugation is at fixed $(x, y)$ . It is not the operation $K (x, y) \mapsto K (y, x)$ .

Displayed formulas in this passage