Skip to main content
Article thumbnail
Location of Repository

Strongly singular Radon transforms on the Heisenberg group and folding singularities

By Norberto Laghi and Neil Lyall

Abstract

We prove sharp L² regularity results for classes of strongly singular Radon transforms on the Heisenberg group by means of oscillatory integrals. We show that the problem in question can be effectively treated by establishing uniform estimates for certain oscillatory integrals whose canonical relations project with two-sided fold singularities; this new approach also allows us to treat operators which are not necessarily translation invariant

Year: 2007
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.1904
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.ams.org/journals/pr... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.