Translation property of the Fourier transform

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.

 Ancestors (6)

 Incoming links (6)

Fourier independence from disjoint distribution supports
Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 80 / 2 / c / Solution
Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 67 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 327 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2017 / ib / Paper 1 / 14B / b / Solution
Past exam of the mathematics course of the University of Cambridge / 2023 / ib / Paper 3 / 14A / d / Solution

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version