On a Stability Property of the Generalized Spherical Radon Transform

Dmitry Faifman*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this note, we study the operator norm of the generalized spherical Radon transform, defined by a smooth measure on the underlying incidence variety. In particular, we prove that for small perturbations of the measure, the spherical Radon transform remains an isomorphism between the corresponding Sobolev spaces.

Original languageEnglish
Title of host publicationAsymptotic Geometric Analysis
Subtitle of host publicationProceedings of the Fall 2010 Fields Institute Thematic Program
EditorsMonika Ludwig, Vladimir Pestov, Vitali Milman, Nicole Tomczak-Jaegermann
PublisherSpringer New York
Number of pages19
ISBN (Print)9781461464051
StatePublished - 2013

Publication series

NameFields Institute Communications
ISSN (Print)1069-5265


  • Integral geometry
  • Pseudodifferential operators
  • Radon transform
  • Sobolev spaces


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