= Spectral reconstruction of an attenuated Radon transform
{title2=$L_k=k\partial_z+k^{-1}\partial_{\bar z}$}
Complexifying the directional <transport equation> yields spectral solutions analytic inside and outside the unit circle. An <integrating factor> built from known attenuation removes its multiplication term. The limiting Green kernels encode weighted line measurements and transverse <Hilbert transforms>. Their jump gives a <Riemann-Hilbert problem>; its solution recovers the source from an asymptotic coefficient. A general primary treatment of this spectral construction is https://www.stat.uchicago.edu/~guillaumebal/PAPERS/AttRadTh.pdf .
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