OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousL2Product.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

Actual multiplication of physical L² data by a Y coefficient

The coefficient is the bounded continuous physical representative. This bilinear map supplies the principal part of each top-order derivative.

  1. theorem OAI.DefocusingNLS.physicalL2Product_memLp line 20
  2. def OAI.DefocusingNLS.homogeneousPhysicalL2ProductValue line 31
  3. theorem OAI.DefocusingNLS.homogeneousPhysicalL2ProductValue_ae line 36
  4. theorem OAI.DefocusingNLS.homogeneousPhysicalL2ProductValue_norm_le line 42
  5. def OAI.DefocusingNLS.homogeneousPhysicalL2Product line 52
  6. theorem OAI.DefocusingNLS.homogeneousPhysicalL2Product_apply line 96
  7. theorem OAI.DefocusingNLS.homogeneousPhysicalL2Product_Schwartz line 101