OAI/Analysis/KadisonKastler/PoissonKernelFormula.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

The actual half-plane Poisson kernel

The fixed-law vector averages agree with integration against r / (π ((t-s)²+r²)) for every positive height.

  1. def OAI.KadisonKastler.realPoissonKernel line 20
  2. theorem OAI.KadisonKastler.integral_standardCauchy line 23
  3. theorem OAI.KadisonKastler.realPoissonKernel_affine line 37
  4. theorem OAI.KadisonKastler.integral_standardCauchy_affine line 46
  5. theorem OAI.KadisonKastler.poissonVectorAverage_apply_eq_integral line 60