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How would I compute the Fourier transform of a function $f(g(t))$ - a composite function.

For example, what if I took $h(t) = \cos(\sin(2\pi t))$, where $f(t)=\cos(t)$ and $g(t)=\sin(2\pi t)$ and attempted to find the transform of that? Is there even a solution to this problem?

By the way, I use the Fourier Transform with Kernel $e^{-i 2\pi st}$

AstroFox
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