Manuscript XVI-K@1 · XVI-K.tex · bibliography · aa7553bb
References
Supplied output excerpt and provenance · lines 2243–2318
XIIC
N. Cheung,
Landmark XII-C,
supplied manuscript, version 1.
Locators:
eq:finite-curvature,
eq:ell3,
eq:Ccoefficients, and
thm:actualsource.
The density atoms and selected source are specified
explicitly in the present manuscript.
XIID
N. Cheung,
Landmark XII-D,
supplied manuscript, version 1.
Locators:
eq:B-kernel and
lem:root-kernel.
The root's existence, compactness, and bound are
retained as Assumption ass:root.
XVIJ
N. Cheung, Landmark XVI-J, supplied manuscript and revised formulation. The retained interfaces are the dual-basis constant-slot contraction, selected square extension, and conditional root attachment. The exact regression target is displayed in Proposition prop:regression, independently of changes to predecessor equation numbering.
Artifacts
N. Cheung,
Computational artifacts supplied with Landmark XVI-K:
hessian_full.py,
xvi_common.py,
recompute_K_dual.py, and
hessian_full_out.txt.
Exact-arithmetic coefficient expansion and supplied
verification record. These artifacts are unchanged.
FR
K. Fredenhagen and K. Rejzner, Perturbative algebraic quantum field theory, arXiv:1208.1428v2, 2013. Section 7 gives the off-diagonal Feynman product discussion and the point-extension background. Its all-orders construction is not imported.
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. Sections 5.1–5.2, Lemma 5.1, and Theorems 5.2–5.3.
BDH
C. Brouder, N. V. Dang, and F. Hélein, A smooth introduction to the wavefront set, Journal of Physics A: Mathematical and Theoretical 47 (2014), 443001. arXiv:1404.1778. Theorem 13 and Proposition 26.
Hormander
L. Hörmander, The Analysis of Linear Partial Differential Operators I, second edition, Springer, 1990. Chapter VIII, especially Theorems 8.2.4 and 8.2.10.