Fourier Sine Transform

The Fourier sine transform is the Imaginary Part of the full complex Fourier Transform,

$${\mathcal F}{\rm sin}[f(x)]=\Im[{\mathcal F}[f(x)]].$$

See also Fourier Cosine Transform, Fourier Transform

References

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``FFT of Real Functions, Sine and Cosine Transforms.'' §12.3 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 504-515, 1992.