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Stability estimates for
the X-ray transform on simple asymptotically hyperbolic
manifolds
Nikolas Eptaminitakis |
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Vol. 4 (2022), No. 3, 487–516
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Abstract |
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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. |
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Keywords
asymptotically hyperbolic manifolds, X-ray transform,
normal operator, stability, 0-calculus
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Mathematical Subject Classification
Primary: 58J40
Secondary: 35R30
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Milestones
Received: 1 June 2021
Revised: 29 April 2022
Accepted: 15 June 2022
Published: 4 December 2022
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Authors |
| Nikolas Eptaminitakis | |
| Institut für
Differentialgeometrie Leibniz Universität Hannover Welfengarten 1 30167 Hannover Germany |
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