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arXiv · 1311.4582

On the range of the attenuated magnetic ray transform for connections and Higgs fields

Gareth Ainsworth·Yernat M. Assylbekov
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Abstract

For a two-dimensional simple magnetic system, we study the attenuated magnetic ray transform $I_{A,\Phi}$, with attenuation given by a unitary connection $A$ and a skew-Hermitian Higgs field $\Phi$. We give a description for the range of $I_{A,\Phi}$ acting on $\mathbb C^n$-valued tensor fields.

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Gareth Ainsworth, Yernat M. Assylbekov. 2013-11-18. On the range of the attenuated magnetic ray transform for connections and Higgs fields. https://arxiv.org/abs/1311.4582

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