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Fourier transform of sin$sin(\frac{1/}{x})$ for x$x > 0 (x > 1)$

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

Fourier transform of sin(1/x) for x > 0 (x > 1)

Please, give me the cue: does exist analytical representation of Fourier Transform of sin(1/x) for x>0 (or x>1). Maybe exist an approximation of FT(sin(1/x)) by Bessel functions? Thank you.

Fourier transform of $sin(\frac{1}{x})$ for $x > 0 (x > 1)$

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.

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Fourier transform of sin(1/x) for x > 0 (x > 1)

Please, give me the cue: does exist analytical representation of Fourier Transform of sin(1/x) for x>0 (or x>1). Maybe exist an approximation of FT(sin(1/x)) by Bessel functions? Thank you.