Inversion formulas of integral geometry in real hyperbolic space

Document Type

Article

Publication Date

1-1-2019

Abstract

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.

Publication Source (Journal or Book title)

Contemporary Mathematics

First Page

81

Last Page

96

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