Horospherical Cauchy Transform on Some Pseudo-Hyperbolic Spaces

@article{Gindikin2020HorosphericalCT,
  title={Horospherical Cauchy Transform on Some Pseudo-Hyperbolic Spaces},
  author={Simon G. Gindikin},
  journal={Symmetry, Integrability and Geometry: Methods and Applications},
  year={2020}
}
  • S. Gindikin
  • Published 28 October 2019
  • Mathematics
  • Symmetry, Integrability and Geometry: Methods and Applications
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 more broad context, this possibility reflects the fact that the harmonic analysis on symmetric spaces (Riemannian as well as pseudo-Riemannian ones) is equivalent (homologous), up to the Abelian Fourier transform, to the similar problem in the… 

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E-mail address: sgindikin@gmail

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