OAI/MathematicalPhysics/DefocusingNLS/Linear/FourierCoordinateDerivative.lean
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Recovering a strong Fourier-space derivative from continuous coordinates
For the Schrödinger application the candidate derivative loses two Sobolev orders. Once that derivative is a continuous Hilbert-space curve, its coordinate identities imply the strong derivative by the fundamental theorem of calculus.
- theorem
OAI.DefocusingNLS.hasDerivAt_fourierL2_of_coordinatesline 20