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SUMMARY:Uniqueness and support theorems for analytic double fibration tran
 sforms - Mikko Salo (University of Jyväskylä)
DTSTART:20230519T090000Z
DTEND:20230519T100000Z
UID:TALK198142@talks.cam.ac.uk
DESCRIPTION:We revisit a classical topic in integral geometry and study in
 tegral transforms associated with a double fibration. This class includes 
 various transforms encountered in tomography problems\, such as (magnetic)
  geodesic X-ray transforms\, generalized Radon transforms\, and (Lorentzia
 n) light ray transforms. If the underlying curve or surface family is real
 -analytic\, we show that certain analytic singularities of a function can 
 be determined from its transform under a Bolker condition. This leads to l
 ocal and global uniqueness results and Helgason type support theorems for 
 these transforms.\nThis is joint work with Marco Mazzucchelli (ENS Lyon) a
 nd Leo Tzou (Amsterdam).
LOCATION:Seminar Room 1\, Newton Institute
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