Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unique continuation of the normal operator of the X-ray transform and
  applications in geophysics   We show that the normal operator of the X-ray transform in $\mathbb{R}^d$,
$d\geq 2$, has a unique continuation property in the class of compactly
supported distributions. This immediately implies uniqueness for the X-ray
tomography problem with partial data and generalizes some earlier results to
higher dimensions. Our proof also gives a unique continuation property for
certain Riesz potentials in the space of rapidly decreasing distributions. We
present applications to local and global seismology. These include linearized
travel time tomography with half-local data and global tomography based on
shear wave splitting in a weakly anisotropic elastic medium.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas