Register to reply

Inverse function fourier

by john1989
Tags: fourier, function, inverse
Share this thread:
john1989
#1
Nov9-12, 10:42 AM
P: 4
Hi

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)]

Thanks!
Phys.Org News Partner Mathematics news on Phys.org
'Moral victories' might spare you from losing again
Fair cake cutting gets its own algorithm
Effort to model Facebook yields key to famous math problem (and a prize)
Vargo
#2
Nov12-12, 04:11 PM
P: 350
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.


Register to reply

Related Discussions
Recovering a function using the inverse fourier transform Calculus & Beyond Homework 1
Inverse fourier transform of piecewise function Calculus & Beyond Homework 0
Inverse Fourier Transform of a function Calculus 3
Inverse function and fourier series Calculus 5