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.
| Original language | English |
|---|---|
| Title of host publication | Contemporary Mathematics |
| Publisher | American Mathematical Society |
| Pages | 81-96 |
| Number of pages | 16 |
| DOIs | |
| State | Published - 2019 |
| Externally published | Yes |
Publication series
| Name | Contemporary Mathematics |
|---|---|
| Volume | 733 |
| ISSN (Print) | 0271-4132 |
| ISSN (Electronic) | 1098-3627 |
Bibliographical note
Publisher Copyright:©○2019 American Mathematical Society.
Keywords
- Inversion formulas
- Radon transforms
- Real hyperbolic space
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