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Double Fibration Transforms: Geometry and Microlocal Analysis
Abstract
Double fibration transforms integrate functions over families of submanifolds. We survey the recovery of singularities by both classical normal operator methods and direct analytic methods. We also discuss support theorems, injectivity and applications to geodesic ray transforms, seismic inversion and minimal surface data.
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BibTeX
@misc{jathar2026double,
title = {{Double Fibration Transforms: Geometry and Microlocal Analysis}},
author = {Shubham R. Jathar and Jesse Railo},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01760},
eprint = {2611.01760},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01760},
}
RIS
TY - UNPB
TI - Double Fibration Transforms: Geometry and Microlocal Analysis
AU - Shubham R. Jathar
AU - Jesse Railo
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01760
UR - https://arxiv.org/abs/2611.01760
AB - Double fibration transforms integrate functions over families of submanifolds. We survey the recovery of singularities by both classical normal operator methods and direct analytic methods. We also discuss support theorems, injectivity and applications to geodesic ray transforms, seismic inversion and minimal surface data.
ER -