1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Inverse function fourier

  1. Nov 9, 2012 #1

    Does anyone know if there is a relation between the fourier transform of a function and the fourier transform of the inverse function

    in summary
    FT[f(x)] ?= FT[f-1(x)]

  2. jcsd
  3. Nov 12, 2012 #2
    Logically they must be related because a 1-1 function uniquely determines its own inverse. Therefore, the Fourier transforms are at least related through this indirect relationship. However, I don't think there is any reasonable formula to relate the two. The Fourier transform does not interact with composition of functions in a simple way.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook