 Fourier transform of a Gaussian

ID: fourier-transform-of-a-gaussian

Codex  0 Created 2026-09-24 Updated 2026-10-05

With

f (k) = \int_{R} f (x) e^{- ik x} d x

and

a > 0

e^{- a x^{2} + ib x} (k) = \frac{π}{a} exp (- \frac{( k - b ) ^{2}}{4 a}) .

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