Manuscript XVI-M@1 · XVI-M.tex · section · 7346c909

Scale derivative versus dilation defect at every grade (work package B)

M.6 Dilation identity, residues, and matched scale variation › Scale derivative versus dilation defect at every grade (work package B) · lines 1756–1778

Back to manuscript

of the full scale tensor. for all . Collapse and adjoint defect are homogeneous in the total derivative degree , so the top part () and the lower parts () cannot cancel each other; cross-grade cancellations at fixed are included.

reading nnz ()adjoint-defect nnzvariationalper- nnz ()
formal1411216608no744, 4440, 10278, 10040, 4604
-plateau25224090no744, 1728, 2386, 1550, 514
preparation plateau45804090no0, 0, 2274, 4072, 4604
double plateau4900yes0, 0, 474, 514, 514

Lower-order envelope (all ): is injective on each -block; self-adjoint parameter subspaces have dimensions () in the formal, - and preparation readings and in the double plateau; there image () and image is one-dimensional (). The radial specialization is non-self-adjoint at and in every reading. Time-only readings: Corollary cor:wpB-timeonly.

Nearby in this section