OAI/Analysis/LipschitzHilbert/Packets/SourceFrozenProfile.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

Frozen selector values multiply the original Schwartz profiles. They preserve the common seminorm bound, geometry and physical spectrum; no new packet or concentration assumption is introduced.

  1. theorem OAI.LipschitzHilbert.planarEnvelopeConstant_smul_le line 12
  2. theorem OAI.LipschitzHilbert.planarProfileConstant_smul_le line 22
  3. theorem OAI.LipschitzHilbert.modulatedPlanarJet_smul line 34
  4. theorem OAI.LipschitzHilbert.physicalPlanarPacket_smul line 43
  5. def OAI.LipschitzHilbert.SourceLatticePacket.frozenProfile line 57
  6. theorem OAI.LipschitzHilbert.SourceLatticePacket.frozenProfile_constant line 63
  7. theorem OAI.LipschitzHilbert.SourceLatticePacket.frozenProfile_raw line 65
  8. theorem OAI.LipschitzHilbert.SourceLatticePacket.frozenProfile_physicalPacket line 71
  9. theorem OAI.LipschitzHilbert.SourceLatticePacket.frozenProfile_physicalFourier line 77
  10. theorem OAI.LipschitzHilbert.SourceLatticePacket.frozenProfile_spectrum line 83