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 Oct25 comment Fourier transform of derivative for the bounded function Oh, I completely forgot about this question. No, the problem was that $f$ was not entire (that's why I only used Wirtinger differentials). I have managed to strengthen "$f$ is bounded" to "$f$ goes to zero on the infinity" since then, for which the proof is trivial. I should probably close the question now, as I'm not even sure this equality can be proved with my initial conditions. Oct24 awarded Tumbleweed Oct17 awarded Editor Jul29 awarded Teacher Jul29 answered Can someone explain Gödel's incompleteness theorems in layman terms? Apr30 awarded Supporter Jun6 asked Fourier transform of derivative for the bounded function Jun2 comment Notation for application of the sequence of integrals @tomasz: thanks, that's a viable variant. Jun2 comment Notation for application of the sequence of integrals @MichaelHardy: that's why I picked the product sign as a temporary placeholder, until I find something better. Although it works better for differentials, because in that case $\partial x_1 \partial x_2$ is technically a product, while for integrals it is more of a successive application which is written similar to a product. I wish there was some sort of big "A" letter for this... Jun1 awarded Student Jun1 asked Notation for application of the sequence of integrals