OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousSphereHarmonicSpan.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Harmonic polynomial restrictions span the sphere polynomials

  1. def OAI.DefocusingNLS.physicalHarmonicPolynomialRestrictions line 12
  2. def OAI.DefocusingNLS.physicalHarmonicPolynomialSpan line 16
  3. theorem OAI.DefocusingNLS.physicalSpherePolynomial_radius line 19
  4. theorem OAI.DefocusingNLS.physicalSpherePolynomial_homogeneous_mem_span line 29
  5. theorem OAI.DefocusingNLS.physicalSpherePolynomial_mem_harmonic_span line 43
  6. def OAI.DefocusingNLS.physicalSphereMoment line 51
  7. theorem OAI.DefocusingNLS.physicalSphere_eq_zero_of_harmonic_polynomial_moments line 68
  8. theorem OAI.DefocusingNLS.physicalSphere_exists_harmonic_polynomial_moment line 81