OAI/Analysis/RieszRectifiability/Rigidity/JetMomentPolynomial.lean

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Polynomial pairings for Fourier jets

A finite family of jet coefficients defines a multivariable moment polynomial. Its pairing with a Schwartz function is integrable and equals the corresponding linear combination of Fourier derivatives at zero.

  1. def OAI.RieszRectifiability.jetMomentPolynomial line 22
  2. theorem OAI.RieszRectifiability.jetMomentPolynomial_eval line 27
  3. theorem OAI.RieszRectifiability.jetMomentPolynomial_test_integrable line 35
  4. theorem OAI.RieszRectifiability.fourier_jet_sum_eq_polynomial_pairing line 51