OAI/MeasureTheory/Falconer/Shells/FiniteSpatialShell.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

Finite separated inverse terms in the independent angular shell

The spatial coefficient is the actual inverse-distance Fourier coefficient. All radial and spatial integrability is derived from the bounded endpoint families. The only energy hypotheses concern the two independent angles.

  1. theorem OAI.Falconer.finite_spatial_shell_sum_integrable line 17
  2. theorem OAI.Falconer.finite_spatial_shell_le line 48