Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Directional Uncertainty Principle for Quaternion Fourier Transform   This paper derives a new directional uncertainty principle for quaternion
valued functions subject to the quaternion Fourier transformation. This can be
generalized to establish directional uncertainty principles in Clifford
geometric algebras with quaternion subalgebras. We demonstrate this with the
example of a directional spacetime algebra function uncertainty principle
related to multivector wave packets.

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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an