Please, give me the cue: does exist analytical representation of Fourier Transform of $sin(\frac{1}{x})$ for$ x>0$ (or $x>1$). Maybe exist an approximation of $FT(sin(\frac{1}{x}))$ by Bessel functions? Thank you.
Fourier transform of $sin(\frac{1}{x})$ for $x > 0 (x > 1)$
Vadim Timchenko
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