 Translation property of the Fourier transform

ID: translation-property-of-the-fourier-transform

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Translation property of the Fourier transform by

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

For the angular-frequency convention,

F [f (x - a)] (k) = e^{- ika} f (k),

so multiplication by a phase factor in frequency translates a function in physical space.

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