How can i solve this Fourier Transform question?

aligator123
Messages
35
Reaction score
0
How can i solve this Fourier Transform question?

Homework Statement



f(t)= a/((a^2)+(t^2)) if a>0 find the Fourier transform

Homework Equations



Just give me a hint to solve or first step for solving. Then i will solve.

The Attempt at a Solution



Thanks for help.
 
Physics news on Phys.org
Ok. Set up a contour integral and use the residue theorem.
 
ok but anyone can give more hints and details?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Fourier Transform - Solutions Error?
Replies
5
Views
1K
Calculate the Fourier transform of the susceptibility of an Oscillator
Replies
1
Views
2K
"Simple" Fourier transform problem
Replies
23
Views
3K
Fourier transform ##f(t) = te^{-at}##
Replies
6
Views
3K
Model CO2 diffusing across the wall of a cylindrical alveolar blood vessel
Replies
0
Views
1K
Fourier transform: duality property and convolution
Replies
1
Views
2K
How to apply the Fourier transform to this problem?
Replies
9
Views
2K
Solving modified heat equation
Replies
5
Views
979
Fourier series and the shifting property of Fourier transform
Replies
6
Views
1K
Fourier transformation for circular apertures
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top