References

XIVG

N. Cheung, Landmark XIV-G: Operator and pullback composition of the regrouped retained germ. Supplied manuscript XIV-G.tex. Immediate predecessor: route, local source typing, residual-testing limitation, factorwise audit, and exact G2 stop.

XIVF

N. Cheung, Landmark XIV-F: Paired composition on a proposed excess bundle. Supplied manuscript XIV-F.tex. Excluded clean-excess identification and geometric boundaries only.

XIVE

N. Cheung, Landmark XIV-E: Joint symbol of the six-branch retained germ, or one named characteristic prescription. Supplied manuscript XIV-E.tex. Exact regrouping, complete root, tested-kernel bound, and characteristic lifts.

XIVD

N. Cheung, Landmark XIV-D: Cancellation or prescription on the retained noncoincident characteristic stratum. Supplied manuscript XIV-D.tex. Six-branch germ, actual local incidences, and branch-limited numerator.

XIVC

N. Cheung, Landmark XIV-C: The joint two-line extension of one selected binary pair. Supplied manuscript XIV-C.tex. Retained stratum, positive relation, and contact rigidity.

XIIIC

N. Cheung, Landmark XIII-C: The joint two-line extension of one selected binary pair, on the unchanged carrier. Supplied manuscript XIII-C.tex. Four successor obligations and primitive collision extensions.

XIIIB

N. Cheung, Landmark XIII-B: One binary causal datum for the displayed coefficient, on the unchanged carrier. Supplied manuscript XIII-B.tex. Tree datum, retarded convention, ordered values, and properness boundary.

XIIE

N. Cheung, Landmark XII-E: Assembly of the second-order relational coefficient after admission of the density-weighted cubic insertion. Supplied manuscript XII-E.tex. Response formulas, source-slot sign, roots, and existing tree kernels.

XIIC

N. Cheung, Landmark XII-C: One declared cubic weighting: actual Euler source, changed Noether identity, and the coupled-jet question. Supplied manuscript XII-C.tex. Fixed cubic representative and actual local source.

Hormander

L. Hörmander, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, second edition, Springer, 1990. Section 8.2: tensor products, pullbacks, products, and proper pushforward.

Wunsch

J. Wunsch, Microlocal analysis and evolution equations: Lecture notes from the 2008 CMI/ETH Summer School, arXiv:0812.3181v3, 2023. Sections 8–9: individual conormal orders, symbols, canonical relations, and clean composition conventions.

BGP

C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization, ESI Lectures in Mathematics and Physics, European Mathematical Society, 2007, arXiv:0806.1036. Causal Green operators and support conventions. The internal convolution used here is computed explicitly.

BF

R. Brunetti and K. Fredenhagen, “Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds,” Communications in Mathematical Physics 208 (2000), 623–661, arXiv:math-ph/9903028. Recorded extension framework only; not applied to the missing characteristic target.

Dang

N. V. Dang, “The extension of distributions on manifolds, a microlocal approach,” Annales Henri Poincaré 17 (2016), 819–859, arXiv:1412.2808. Recorded microlocal extension and ambiguity framework only.