Manuscript IX-A@1 · IX-A.tex · definition · 55aa6f6d

Definition: Boundary-admissible polynomial carrier

The admission domain and all directional descendants › Definition · lines 793–811

IX-A@1#def:Padm, IX-A@1#eq:admission, IX-A@1#eq:jetcharge

The space $P_{Σ} \subset P_{dist}$ consists of the functionals $F$ such that, for every smooth configuration $Ψ$ and every finite list of smooth directions $η$ ,

(D_{η} F)_{h}^{'} (Ψ) \in S_{1} .

Its boundary-jet coordinate is

b_{Ψ; η} (F) = b ((D_{η} F)_{h}^{'} (Ψ)) .

Displayed formulas in this passage

IX-A@1#eq:admission · line 798
$(D_{η} F)_{h}^{'} (Ψ) \in S_{1} .$
IX-A@1#eq:jetcharge · line 803
$b_{Ψ; η} (F) = b ((D_{η} F)_{h}^{'} (Ψ)) .$

Nearby in this section

section: Definition
section: Definition