OAI/MathematicalPhysics/DefocusingNLS/Profile/SlowKernelIntegrability.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Integrability of the regularized outgoing integral

  1. theorem OAI.DefocusingNLS.regularizedSlowKernel_isBigO_infty line 12
  2. theorem OAI.DefocusingNLS.regularizedSlowKernel_integrableAt_infty line 35
  3. theorem OAI.DefocusingNLS.continuousOn_regularizedSlowKernel line 49
  4. theorem OAI.DefocusingNLS.integrable_regularizedSlowKernel line 72

    Source documentation

    Absolute Bochner integrability for the entire parameter domain used by the free matching argument, including its nonzero imaginary boundary.

    theorem integrable_regularizedSlowKernel (q : ℂ) (m : ℕ) (x : ℂ)
    (hq : -1 < q.re) (hx : 0 ≤ x.re) (hx0 : x ≠ 0) :
    IntegrableOn (regularizedSlowKernel q m x) (Set.Ioi 0) := by
…

    Mentions: OAI.DefocusingNLS.regularizedSlowKernel