Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sufficient Conditions for the Inversion Formula for the k-plane Radon
  Transform in R^n   The inversion theorem for the k-plane Radon transform in R^n is often stated
for Schwartz functions, and lately for smooth functions on R^n fulfilling that
f(x)=O(|x|^{-N}) for some N>n. In this paper it will be shown, that it suffices
to require that f is locally Holder continuous and f(x)=O(|x|^{-N}) for some
N>k (N not necessarily an integer), and that a slightly weaker inversion
formula holds when f with the same decay as before is only continuous.

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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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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: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin