Abstract
It is shown that the Fourier integral of the function exp(−ux 2) exists not only for u satisfying Re u > 0 but also for u that satisfies Re u ≥ 0. The proof is given by evaluating this integral for imaginary u.
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Davidović, M., Bozić, M. & Arsenović, D. Evaluation of the Fourier transform of \(e^{ - ux^2 } \) for imaginary u . J Russ Laser Res 27, 220–224 (2006). https://doi.org/10.1007/s10946-006-0010-3
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DOI: https://doi.org/10.1007/s10946-006-0010-3