Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The attenuated ray transform for connections and Higgs fields - MaRDI portal

The attenuated ray transform for connections and Higgs fields

From MaRDI portal
Publication:1930896

DOI10.1007/s00039-012-0183-6zbMath1256.53021arXiv1108.1118OpenAlexW2963221109WikidataQ109346836 ScholiaQ109346836MaRDI QIDQ1930896

Gabriel P. Paternain, Gunther Uhlmann, Mikko Salo

Publication date: 14 January 2013

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1118




Related Items

The X-ray transform for connections in negative curvatureRecovery of a Time-Dependent Hermitian Connection and Potential Appearing in the Dynamic Schrödinger EquationTensor tomography on surfacesEfficient tensor tomography in fan-beam coordinates. II: Attenuated transformsThe geodesic X-ray transform with a \(\mathrm{GL}(n,\mathbb{C})\)-connectionOn instability mechanisms for inverse problemsCarleman estimates for geodesic X-ray transformsInversion formulas and range characterizations for the attenuated geodesic ray transformThe transport Oka-Grauert principle for simple surfacesPestov identities and X-ray tomography on manifolds of low regularityThe geodesic ray transform on spherically symmetric reversible Finsler manifoldsInverse problems for real principal type operatorsGeodesic ray transform with matrix weights for piecewise constant functionsThe Local Magnetic Ray Transform of Tensor FieldsThe magnetic ray transform on Anosov surfacesInvariant distributions, Beurling transforms and tensor tomography in higher dimensionsStability of the non-abelian \(X\)-ray transform in dimension \(\ge 3\)Inverse problems: seeing the unseenBoundary rigidity with partial dataInversion of the Attenuated Geodesic X-Ray Transform over Functions and Vector Fields on Simple SurfacesTensor tomography: progress and challengesThe attenuated geodesic ray transform on tensors: generic injectivity and stabilityCoherent Quantum TomographyTravel time tomographyStatistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priorsWell-defined forward operators in dynamic diffractive tensor tomography using viscosity solutions of transport equationsPolarimetric neutron tomography of magnetic fields: uniqueness of solution and reconstructionOn the Range Characterization of the Two-Dimensional Attenuated Doppler TransformInverse problem for Einstein-scalar field equationsOn the range of the attenuated magnetic ray transform for connections and Higgs fields



Cites Work