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SUMMARY:Explicit inversion formulas for normal operators of momentum ray t
 ransforms - Venky Krishnan (Tata Institute of Fundamental Research)
DTSTART:20230516T103000Z
DTEND:20230516T113000Z
UID:TALK198100@talks.cam.ac.uk
DESCRIPTION:We study certain weighted ray transforms of symmetric tensor f
 ields called momentum ray transforms. In the absence of weights\, the ray 
 transform reduces to the standard ray transform of symmetric tensor fields
 \, and full inversion of the ray transform recovering the symmetric tensor
  field is not possible due to the presence of an infinite dimensional null
  space. The supplementary data in the form of higher order moments of the 
 ray transform leads to explicit recovery of the entire tensor field. In th
 is talk\, instead of the momentum ray transforms\, we will focus our atten
 tion on normal operators associated to momentum ray transforms (the compos
 ition of the transform with its formal adjoint)\, and introduce an approac
 h for the explicit reconstruction of the entire symmetric tensor field fro
 m this data.
LOCATION:Seminar Room 1\, Newton Institute
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