# Inverse fourier transform of constant

1. Mar 19, 2014

### lemonsie

1. The problem statement, all variables and given/known data
Find the inverse fourier transform of f(w)=1 Hint: Denote by f(x) the inverse fourier transform of 1 and consider convolution of f with an arbitrary function.

2. Relevant equations

From my textbook the inverse fourier transform of f(w)=$\int$ F(w)e^-iwt dw

3. The attempt at a solution

Ive tried letting f(x) be the fourier transform of 1 and convolving it with an arbitrary function g(x) but for some reason this leads me nowhere.

2. Mar 19, 2014

### SammyS

Staff Emeritus
Precisely what sort of nowhere do you get to?

3. Mar 19, 2014

### lemonsie

i let f(x)= Inverse fourier transform of 1, which from the formula i have gives f(x)=∫e^-iwx dw

then using the convolution formula with my f(x) above and the aribitrary function g(x) i get

f*g(x) = ∫e^-iwx dw ∫ g(x-t) dt

the integrals have bounds -∞ to ∞

4. Mar 20, 2014

### lemonsie

ive got it solved now. thanks anyways sammy! :)