= Microlocal analysis of a restricted Doppler transform in n-dimensional Euclidean space =

The Doppler transform associates to a vector field, its integral along lines, where the function being integrated is the dot product of the vector field with the direction vector of the line. Such a transform arises in several biomedical imaging applications.  We study the microlocal properties of a restricted Doppler transform and show that one can microlocally recover the exterior derivative of the vector field from the restricted Doppler transform.

'''People''': Rohit Kumar Mishra, Masters thesis at TIFR CAM

'''Status''': Completed