Details
| Original language | English |
|---|---|
| Pages (from-to) | 487-516 |
| Number of pages | 30 |
| Journal | Pure and Applied Analysis |
| Volume | 4 |
| Issue number | 3 |
| Early online date | 4 Dec 2022 |
| Publication status | Published - 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.
Keywords
- 0-calculus, asymptotically hyperbolic manifolds, normal operator, stability, X-ray transform
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Mathematical Physics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Pure and Applied Analysis, Vol. 4, No. 3, 2022, p. 487-516.
Research output: Contribution to journal › Article › Research › 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 -