OAI/GroupTheory/PolycyclicRecognition/Analysis/HarmonicAveragingDimension.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Injectivity and dimension bound from harmonic averaging

On a subspace where the large-ball quadratic form has controlled growth, the zero-average energy estimate gives injectivity of the actual averaging map. No dimension bound or harmonic-function finiteness is assumed.

  1. def OAI.PolycyclicRecognition.wordBallAverageMap line 17
  2. theorem OAI.PolycyclicRecognition.wordBallAverageMap_injective line 23
  3. theorem OAI.PolycyclicRecognition.harmonic_subspace_dimension_le_cover line 53