Inversion formulas in integral geometry in real hyperbolic space
This expository article is a brief survey of authors’ results related to inversion of Radon transforms in the n-dimensional real hyperbolic space. The exposition is focused on horospherical and totally geodesic transforms over the corresponding submanifolds of arbitrary fixed dimension d, 1 ≤ d ≤ n − 1. Our main objective is explicit inversion formulas for these transforms on Lp functions and smooth functions with suitable behavior at infinity.
Bray, William O., and Boris Rubin. "Inversion formulas of integral geometry in real hyperbolic space." Functional Analysis and Geometry: Selim Grigorievich Krein Centennial 733 (2019): 81.