References

Packet

N. Cheung, attributed manuscript excerpts supplied in the preparation exchange. Formula-level comparison sources include: XI-A, lem:vertex; XI-B, thm:graviton; XII-C, eq:ell3 and thm:actualsource; Em01-C@3, eq:basis-duality, eq:source-conversion, and the seven-row display; XIV-H, prop:K8exact and prop:K5exact; XIV-I, thm:I3; XIV-J, thm:reference, lem:null, and thm:J2. These are supplied excerpts, not independently audited complete parent manuscripts. No cross-series identity or characteristic result is imported from them.

FR

K. Fredenhagen and K. Rejzner, Perturbative algebraic quantum field theory. arXiv:1208.1428v2 (2013). https://arxiv.org/abs/1208.1428v2. Sections 5–7: contraction products, time ordering, interacting normalizations, and extension problems. No product for the present nonlocal insertion is imported.

BDH

C. Brouder, N. V. Dang, and F. Hélein, “Continuity of the fundamental operations on distributions having a specified wave front set (with a counter example by Semyon Alesker),” Studia Mathematica 232 (2016), 201–226. doi:10.4064/sm8316-3-2016. arXiv:1409.7662v2. https://arxiv.org/abs/1409.7662v2. Theorems 6.1 and 6.3 are cited only with their actual wavefront and proper-support hypotheses.

Dang

N. V. Dang, The extension of distributions on manifolds, a microlocal approach. arXiv:1412.2808v1 (2014). https://arxiv.org/abs/1412.2808v1. Section 1: Euler vector fields and their normal action. No characteristic extension theorem is applied here.