OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousFiniteRankResolvent.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The finite-rank resolvent formula

The time-step decomposition reduces invertibility to the finite-dimensional factor. This algebraic identity is used with the actual finite-rank factor; it makes no spectral or evolution assumption.

  1. def OAI.DefocusingNLS.finiteRankResolvent line 20
  2. theorem OAI.DefocusingNLS.finiteRankResolvent_left line 24
  3. theorem OAI.DefocusingNLS.finiteRankResolvent_right line 44