Horospherical Cauchy Transform on Some Pseudo-Hyperbolic Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Author: Gindikin, Simon
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210586
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Horospherical Cauchy Transform on Some Pseudo-Hyperbolic Spaces. Simon Gindikin. SIGMA 16 (2020), 024, 10 pages

We consider the horospherical transform and its inversion in 3 examples of hyperboloids. We want to illustrate via these examples the fact that the horospherical inversion formulas can be directly extracted from the classical Radon inversion formula. In a broader context, this possibility reflects t...