Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 487-516 |
| Seitenumfang | 30 |
| Fachzeitschrift | Pure and Applied Analysis |
| Jahrgang | 4 |
| Ausgabenummer | 3 |
| Frühes Online-Datum | 4 Dez. 2022 |
| Publikationsstatus | Veröffentlicht - 2022 |
Abstract
We study the normal operator to the geodesic X-ray transform on functions in the setting of simple asymptotically hyperbolic manifolds. We construct a parametrix for the normal operator in the 0-pseudodifferential calculus and use it to show a stability estimate.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Mathematische Physik
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in: Pure and Applied Analysis, Jahrgang 4, Nr. 3, 2022, S. 487-516.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Stability estimates for the X-ray transform on simple asymptotically hyperbolic manifolds
AU - Eptaminitakis, Nikolas
N1 - Publisher Copyright: © 2022 Mathematical Sciences Publishers.
PY - 2022
Y1 - 2022
N2 - We study the normal operator to the geodesic X-ray transform on functions in the setting of simple asymptotically hyperbolic manifolds. We construct a parametrix for the normal operator in the 0-pseudodifferential calculus and use it to show a stability estimate.
AB - We study the normal operator to the geodesic X-ray transform on functions in the setting of simple asymptotically hyperbolic manifolds. We construct a parametrix for the normal operator in the 0-pseudodifferential calculus and use it to show a stability estimate.
KW - 0-calculus
KW - asymptotically hyperbolic manifolds
KW - normal operator
KW - stability
KW - X-ray transform
UR - http://www.scopus.com/inward/record.url?scp=85180802109&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2104.01674
DO - 10.48550/arXiv.2104.01674
M3 - Article
VL - 4
SP - 487
EP - 516
JO - Pure and Applied Analysis
JF - Pure and Applied Analysis
SN - 2578-5885
IS - 3
ER -