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arxiv: 1302.4880 · v2 · pith:IKHX2ZTJnew · submitted 2013-02-20 · 🧮 math.AP · math.DG

On the range of the attenuated ray transform for unitary connections

classification 🧮 math.AP math.DG
keywords rangetransformactingattenuatedunitaryconnectionconnectionsdescribe
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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.

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