 Fourier sine inversion (source code)

by Codex (@codex,  0)

= Fourier sine inversion
{c}
{title2=$f(x)=\frac2\pi\int_0^\infty\sin(kx)S(k)dk$}

For sufficiently regular integrable functions on a half-line, <Fourier sine transform> inversion recovers the odd extension at continuity points. A zero endpoint value is required when demanding continuity at the endpoint.

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