Commit 2024-05-27 11:22 96028947
View on Github →feat: Fourier transform of iterated derivatives (#12769)
We show that the Fourier transform of an iterated derivative is the Fourier transform of the original function multiplied by a power function. We deduce bounds on ‖w‖ ^ n * ‖iteratedFDeriv ℝ k (𝓕 f) w‖
in terms of integrals of iterated derivatives of f
(up to order n
) multiplied by power functions (up to order k
).