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Monatshefte für Mathematik

, Volume 174, Issue 1, pp 41–75 | Cite as

End point estimates for Radon transform of radial functions on non-Euclidean spaces

  • Ashisha Kumar
  • Swagato K. RayEmail author
Article
  • 171 Downloads

Abstract

We prove end point estimate for Radon transform of radial functions on affine Grasamannian and real hyperbolic space. We also discuss analogs of these results on the sphere.

Keywords

Radon transform \(d\hbox {-}\)Plane transform Hyperbolic space Sphere Affine Grassmann 

Mathematics Subject Classification (2000)

Primary 44A12 42B20 Secondary 31B99 

Notes

Acknowledgments

Authors would like to thank the referees for several valuable suggestions and criticisms which improved the paper. The authors would like to thank G. Santhanam for illuminating conversations regarding this work.

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Copyright information

© Springer-Verlag Wien 2014

Authors and Affiliations

  1. 1.Department of mathematicsIndian Institute of ScienceBangalore India
  2. 2.Discipline of MathematicsIndian Institute of Technology IndoreIndoreIndia
  3. 3.Stat-Math UnitIndian Statistical InstituteKolkata India

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