OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousHarmonicCompleteness.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

A nonzero physical function has a nonzero spherical harmonic coefficient

Polynomial density and harmonic decomposition give the exact completeness consequence needed for the finite-dimensional spectral classification.

  1. theorem OAI.DefocusingNLS.continuous_exists_nonzero_away_origin line 19
  2. theorem OAI.DefocusingNLS.physical_exists_nonzero_harmonic_coefficient line 26
  3. theorem OAI.DefocusingNLS.physical_exists_spherical_eigenfunction line 50
  4. theorem OAI.DefocusingNLS.physical_pair_exists_spherical_eigenfunction line 64