Injectivity Sets for Spherical Means on the Heisenberg Group

Mark L. Agranovsky, Rama Rawat

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We prove that the boundary of a bounded domain is a set of injectivity for the twisted spherical means on ℂn for a certain class of functions on ℂn. As a consequence we obtain results about injectivity of the spherical mean operator in the Heisenberg group and the complex Radon transform.

Original languageEnglish
Pages (from-to)363-372
Number of pages10
JournalJournal of Fourier Analysis and Applications
Issue number4
StatePublished - 1999


  • Heisenberg group
  • Hypergeometric functions
  • Laguerre functions
  • Spherical means
  • Twisted spherical means


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