4 papers
The matrix weighted real-analytic double fibration transforms
Hiroyuki Chihara, Shubham R. Jathar, Jesse Railo
We show that the real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function. We apply this result to show that the m…
Geodesic X-ray transform and streaking artifacts on simple surfaces or on spaces of constant curvature
Hiroyuki Chihara
The X-ray transform on the plane or on the three-dimensional Euclidean space can be considered as the measurements of CT scanners for normal human tissue. If the human body contain…
Microlocal analysis of double fibration transforms with conjugate points
Hiroyuki Chihara
We study the structure of normal operators of double fibration transforms with conjugate points. Examples of double fibration transforms include Radon transforms, -plane transfo…
The symbol of the normal operator for the d-plane transform on the Euclidean space
Hiroyuki Chihara
We directly compute the symbol of the normal operator for the d-plane transform on the Euclidean space. We show that this symbol is the product of the symbol of the power of the La…