OAI/Analysis/LipschitzHilbert/Trees/SourcePlanarVectorReproduction.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

A product reproducing formula for general Hilbert-valued planar Schwartz packets, derived from their two actual coordinate spectra.

  1. theorem OAI.LipschitzHilbert.vector_scaled_integral_reproduction line 13
  2. theorem OAI.LipschitzHilbert.planar_vector_integral_reproduction line 26
  3. theorem OAI.LipschitzHilbert.lineEnvelope_move_center line 68

    Source documentation

    Moving the evaluation point within one kernel scale changes the positive envelope by at most a factor four.

    theorem lineEnvelope_move_center (c x r s : ℝ) (hr : 0<r) (hx : |x-c|≤r) :
    lineEnvelope x r 1 s≤4*lineEnvelope c r 1 s := by
…

    Mentions: OAI.LipschitzHilbert.lineEnvelope

  4. theorem OAI.LipschitzHilbert.scaledReproducingKernel_shifted_bound line 77