5 citations · 11 across the 15 of their papers we have counts for
21 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…
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…
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…
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 d-plane transform on the Euclidean space
Hiroyuki Chihara
We study the basic properties of d-plane transform on the Euclidean space as a Fourier integral operator, and its application to the microlocal analysis of streaking artifacts in i…
Bargmann transform on the space of hyperplanes
Hiroyuki Chihara
We introduce a Bargmann transform on the space of hyperplanes by applying the Plancherel formula of the Radon transform to the definition of the Bargmann transform on the Euclidean…