Stability estimates for the X-ray transform on simple asymptotically hyperbolic manifolds

Nikolas Eptaminitakis

doi:10.48550/arXiv.2104.01674

Stability estimates for the X-ray transform on simple asymptotically hyperbolic manifolds

Nikolas Eptaminitakis^*

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Differentialgeometrie

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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.

Originalsprache	Englisch
Seiten (von - bis)	487-516
Seitenumfang	30
Fachzeitschrift	Pure and Applied Analysis
Jahrgang	4
Ausgabenummer	3
Elektronisch veröffentlicht (E-Pub)	4 Dez. 2022
DOIs	https://doi.org/10.48550/arXiv.2104.01674 https://doi.org/10.2140/paa.2022.4.487
Publikationsstatus	Veröffentlicht - 2022

ASJC Scopus Sachgebiete

Analysis
Mathematische Physik

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