skip to content

Local injectivity for generalized Radon transforms

Presented by: 
J Boman
Thursday 27th October 2011 - 14:00 to 15:00
INI Seminar Room 2
For a given smooth, positive function $m(x, \xi, \eta)$ we consider a weighted Radon transform $R$ defined by $Rf(\xi, \eta) = \int f(x, \xi x + \eta) m(\xi, \eta, x) dx$ for functions $f(x, y)$ that are defined in some neighborhood of the origin and are supported in $y\ge x^2$. The question is for which $m(x, \xi, \eta)$ it is true that $R$ is injective. A similar problem when the family of lines $y = \xi x + \eta$ is replaced by a family of curves is also considered.
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons