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The Fourier Transform Richard Chapling v.1 5 December 2014 1 Definition There are about 8 possible conventions for the Fourier Transform.1 We shall use the definition from lectures or at least the definition from my lectures. Given f R C the Fourier transform of f is a function f R C given by f k F f k F f x k e ikx f x dx. The inverse Fourier transform is defined as F 1 g x eikx g k dk. Then key cool theorem these two transforms are the inverses of each other2 f x F 1 f x 2 The key...
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