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Fourier transform of hat function

1. Homework Statement
obtaining the fourier transform of the hat function
h(x) = 1 if modulus of x</= 1
=0 otherwise


2. Homework Equations
F(k)=1/sqrt(2*PI) *integral from -1 to 1 of exp(ikx)


3. The Attempt at a Solution
I've carried through the transform and got an answer of
sqrt(2/PI)*sinc(k)
could someone tell me if this is correct please?
 

tiny-tim

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