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

DOI10.2140/paa.2022.4.487OpenAlexW3148913444MaRDI QIDQ2103527

Nikolas Eptaminitakis

Publication date: 14 December 2022

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01674

zbMATH Keywords

stabilityasymptotically hyperbolic manifoldsX-ray transformnormal operator0-calculus

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items

Elliptic parametrices in the 0-calculus of Mazzeo and Melrose

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• The X-ray transform for a generic family of curves and weights
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Resolvent of the Laplacian on strictly pseudoconvex domains
• On the microlocal analysis of the geodesic X-ray transform with conjugate points
• Inversion formulas for the \(k\)-dimensional Radon transform in real hyperbolic spaces
• Stability estimates for the \(X\)-ray transform of tensor fields and boundary rigidity
• The geodesic X-ray transform with fold caustics
• X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds
• The geodesic ray transform on Riemannian surfaces with conjugate points
• The inverse problem for the local geodesic ray transform
• Numerical harmonic analysis on the hyperbolic plane
• Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy
• The semiclassical resolvent on conformally compact manifolds with variable curvature at infinity
• Lens rigidity for manifolds with hyperbolic trapped sets
• Elliptic theory of differential edge operators I
• On the inversion of the geodesic Radon transform on the hyperbolic plane
• A note on Anosov flows of non-compact Riemannian manifolds
• Pseudodifferential analysis on conformally compact spaces
• A gluing theorem for the Kapustin–Witten equations with a Nahm pole
• Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification
• Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds
• Analytic Continuation and Semiclassical Resolvent Estimates on Asymptotically Hyperbolic Spaces
• Fredholm operators and Einstein metrics on conformally compact manifolds