|Oct10-10, 02:30 PM||#1|
Delta function/fourier transform
1. The problem statement, all variables and given/known data
Hello. This question is about Fourier transforms and the Delta function.
Find the fourier transform of:
2. Relevant equations
3. The attempt at a solution
I began to solve this problem and quickly got to a point where I saw the above mentioned delta function representation. Using Euler's formula, I re-wrote the sine term. My question is, can I use the delta function here:
Now that I have "said that outloud" it seems like the answer is of course not. I guess really I am just looking for a short cut to get out of doing a lot of math. Is there an efficient way of evaluating this integral without "trudging" through it?
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