6533b830fe1ef96bd12966f2

RESEARCH PRODUCT

On the range of the attenuated ray transform for unitary connections

Mikko SaloGabriel P. PaternainGunther Uhlmann

subject

Surface (mathematics)Mathematics - Differential Geometryray transformGeneral MathematicsAstrophysics::High Energy Astrophysical PhenomenaMathematical analysista111Unitary stateConnection (mathematics)Range (mathematics)Mathematics - Analysis of PDEsDifferential Geometry (math.DG)Simple (abstract algebra)Quantum mechanicsFOS: MathematicsSymmetric tensorAnalysis of PDEs (math.AP)Mathematics

description

We describe the range of the attenuated ray transform of a unitary connection on a simple surface acting on functions and 1-forms. We use this to determine the range of the ray transform acting on symmetric tensor fields.

yearjournalcountryeditionlanguage
2013-02-20
http://arxiv.org/abs/1302.4880