Manuscript XIV-H@1 · XIV-H.tex · corollary · 695c7c3a

Corollary: Coordinate-leg conormal representation

H2b: the coordinate gravitational-response leg › Its regular relation and order · lines 1052–1078 · proof included or linked

XIV-H@1#cor:K8order

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On the retained separated-endpoint patch,

The order is an upper filtered order and may decrease when its complete tensor coefficients cancel.

A full finite amplitude representative is obtained from (eq:K8reduced): apply its finite differential operators to the normal amplitude of . No symbol of the grouped quantum coefficient is assigned.

Proof. The seed has normal amplitude order zero. The representation in Proposition prop:K8exact has at most three derivatives. Its normal amplitude is therefore a finite polynomial of degree at most three in the five normal frequencies, with smooth coefficients. Equation (eq:order), with , gives .

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