Singular Value Decomposition for the X-ray Transforms on the Reduced Heisenberg Group, and a Two-Radius Theorem
Analysis of PDEs
2023-05-09 v1
Abstract
We give an explicit Singular Value Decomposition of the sub-Riemannian X-ray transform on the Heisenberg group with compact center. By studying the singular values, we obtain a two-radius theorem for integrals over sub-Riemannian geodesics. We also state intertwining properties of distinguished differential operators. We conclude with a description of ongoing work.
Keywords
Cite
@article{arxiv.2305.04126,
title = {Singular Value Decomposition for the X-ray Transforms on the Reduced Heisenberg Group, and a Two-Radius Theorem},
author = {Steven Flynn},
journal= {arXiv preprint arXiv:2305.04126},
year = {2023}
}