OAI/MathematicalPhysics/DefocusingNLS/Profile/SlowRecurrenceBridge.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Integration by parts across the first regularized parameter strip

The primitive retains the subtraction at zero. Its boundary term vanishes for Re(q) > -1, which relates the regularized integral to ordinary Laplace integrals at q+1.

  1. def OAI.DefocusingNLS.slowRegularizedPrimitive line 16
  2. def OAI.DefocusingNLS.slowRegularizedBoundaryDerivative line 20
  3. theorem OAI.DefocusingNLS.slowRegularizedPrimitive_eq_kernel line 25
  4. theorem OAI.DefocusingNLS.hasDerivAt_slowRegularizedPrimitive line 33
  5. theorem OAI.DefocusingNLS.integrable_slowRegularizedBoundaryDerivative line 59
  6. theorem OAI.DefocusingNLS.slowRegularizedPrimitive_tendsto_zero line 68
  7. theorem OAI.DefocusingNLS.integral_slowRegularizedBoundaryDerivative line 79
  8. theorem OAI.DefocusingNLS.slowRegularized_integral_recurrence line 100