Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beurling's Theorem for the Two-sided Quaternion Fourier Transform   The two-sided quaternion Fourier transform satisfies some uncertainty
principles similar to the Euclidean Fourier transform. A generalization of
Beurling's theorem, Hardy, Cowling-Price and Gelfand-Shilov theorems, is
obtained for the two-sided quaternion Fourier transform.

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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci