Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Even Minkowski Valuations   A new integral representation of smooth translation invariant and rotation
equivariant even Minkowski valuations is established. Explicit formulas
relating previously obtained descriptions of such valuations with the new more
accessible one are also derived. Moreover, the action of Alesker's Hard
Lefschetz operators on these Minkowski valuations is explored in detail.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex