Consider the following Fourier transform: $$\hat{f}(\ln \xi) = \int_{-\infty}^{+\infty} f(x) e^{-2\pi i x \ln{\xi}} \, \, dx $$ Assuming I can calculate $\hat{f}(\ln \xi)$, how can I go from $\hat{f}(\ln \xi)$ to $\hat{f}(\xi)$?
Thanks!
2026-03-25 07:47:57.1774424877
Fourier transform of the ln of a variable
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