OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/ScalarMollification.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Compact smooth approximation on the real line, including its derivative. Only the one-dimensional approximation needed by the oscillator is built.

  1. def OAI.ContinuumCoulomb.scalarMollifier line 15
  2. theorem OAI.ContinuumCoulomb.scalarMollifier_tendsto line 21
  3. def OAI.ContinuumCoulomb.scalarMollification line 26
  4. theorem OAI.ContinuumCoulomb.scalarMollification_smooth line 29
  5. theorem OAI.ContinuumCoulomb.scalarMollification_compact line 34
  6. theorem OAI.ContinuumCoulomb.scalarMollification_tendsto line 38
  7. theorem OAI.ContinuumCoulomb.scalarMollification_deriv line 42
  8. theorem OAI.ContinuumCoulomb.scalarMollification_bound line 51