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kathrynlaa
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Homework Statement
f(p) is the Fourier transform of f(x). Show that the Fourier Transform of eipox f(x) is f(p- p0).
Homework Equations
I'm using these versions of the Fourier transform:
f(x)=1/√(2π)∫eixpf(p)dx
f(p)=1/√(2π)∫e-ixpf(x)dx
The Attempt at a Solution
I have:
f(p)=1/√(2π)∫eix(po-p)f(x)dx
which is the same as:
f(p)=1/√(2π)∫e-ix(p-po)f(x)dx
but I don't know where to go from here. I think I need to make a substitution using the original transform as I don't need to solve the integral. My other idea is that I have nearly proved it so just need to state the theory as to why this proves it; however, I don't know what that theory would be.
Any help would be appreciated!
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