Monatshefte für Mathematik

, Volume 174, Issue 1, pp 41–75

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

Article

DOI: 10.1007/s00605-014-0620-8

Cite this article as:
Kumar, A. & Ray, S.K. Monatsh Math (2014) 174: 41. doi:10.1007/s00605-014-0620-8
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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 transformHyperbolic spaceSphereAffine Grassmann

Mathematics Subject Classification (2000)

Primary 44A1242B20Secondary 31B99

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