References

XA

N. Cheung. {Landmark X-A: Classical covariance of one fixed-regulator switched relational scalar through order ${\kappa }^2$}. Supplied manuscript X-A.tex. Classical premises: the convention sheet; Theorem thm:main; Propositions prop:preflight, prop:edge, prop:coordeq, prop:scalar, prop:continuity, prop:kernels; and the relational expansion.

FR

K. Fredenhagen and K. Rejzner. Perturbative algebraic quantum field theory. arXiv:1208.1428. Used for the standard cone terminology and free Wick presentation. The finite polynomial construction here does not invoke a general closure theorem for nonpolynomial functionals.

DF

M. Dütsch and K. Fredenhagen. Causal perturbation theory in terms of retarded products, and a proof of the Action Ward Identity. Reviews in Mathematical Physics 16 (2004), 1291–1348. arXiv:hep-th/0403213. Background for off-shell insertion and retarded-product terminology; no complete product hierarchy is claimed here.

BGP

C. Bär, N. Ginoux, and F. Pfäffle. Wave Equations on Lorentzian Manifolds and Quantization. European Mathematical Society, 2007. arXiv:0806.1036. Used for Green operators, finite propagation, transposition, and smooth continuity.

Hormander

L. Hörmander. The Analysis of Linear Partial Differential Operators I. Second edition. Springer, 1990. Chapter 8. Used for distributional wavefront product, differentiation, and proper-pushforward criteria.