Suppose we have a function $F(x)$ given by the integral: $$F(x)=\int_{0}^{\infty}f(t)\frac{\cos(t\log x)}{t}dt\;\;\;\;\;(x>1)$$ This looks tantalizingly like a Fourier-cosine transform of $\frac{f(t)}{t}$. How do we recover $f(t)$ from $F(x)$ !?
2026-03-27 01:45:14.1774575914
Inverse Fourier-cosine transfrom
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