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math.FA2026
Spherical Radon transforms with smoothly varying radii
James W. Webber, Eric Todd Quinto
We present an analysis of a novel spherical Radon transform, , which defines the integrals of a function, , in over spheres with arbitrary center (…
math.FA2025
Microlocal analysis of non-linear operators arising in Compton CT
James W. Webber, Sean Holman
We present a novel microlocal analysis of a non-linear ray transform, , arising in Compton Scattering Tomography (CST). Due to attenuation effects in CST, the integral…