OAI/NumberTheory/CubicMoment/Theta/CubicThetaTorusSlices.lean

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11 declarations, 0 contain sorry, 0 declared as axioms

Fourier coefficients of L2 cusp slices. The finite Bessel bounds and Parseval identity justify the square-summable family of radial L2 modes.

  1. abbrev OAI.CubicFirstMoment.CubicThetaCuspSlices line 16
  2. def OAI.CubicFirstMoment.cubicThetaTorusCoefficientMap line 18
  3. lemma OAI.CubicFirstMoment.cubicThetaTorusCoefficientMap_apply line 22
  4. def OAI.CubicFirstMoment.cubicThetaSliceCoefficient line 26
  5. lemma OAI.CubicFirstMoment.cubicThetaSliceCoefficient_coe line 29
  6. lemma OAI.CubicFirstMoment.cubicThetaSliceCoefficient_integrable line 34
  7. lemma OAI.CubicFirstMoment.cubicThetaSliceCoefficient_norm_sq line 40
  8. lemma OAI.CubicFirstMoment.cubicThetaTorus_finite_bessel line 48
  9. lemma OAI.CubicFirstMoment.cubicThetaSlices_finite_bessel line 53
  10. lemma OAI.CubicFirstMoment.cubicThetaSlices_coefficients_summable line 63
  11. theorem OAI.CubicFirstMoment.cubicThetaSlices_parseval line 67