Shifted equations for the actual relative variables

In invariant notation the second sign is

It must not be replaced by the first-slot sign.

The bounded core above does not establish a finite sector cover for the physical boundary values. In particular:

• supported rows impose $r=0$;

• $K_{47}$ also contains the cone of $b-z$;

• the two $K_5$ rows contain the cone-tip factors $R(a-z)$ and $R(z-a)$.

No common physical weight for $r$, no complete sector decomposition, and no physical scaling degree follows solely from Proposition prop:shifted.

Nor does the convolution permit pairing $K$ with every individual translated singular crossed factor. The exact distributional representation used next avoids that additional product assumption.