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