Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schoenberg Correspondence on Dual Groups   As in the classical case of L\'evy processes on a group, L\'evy processes on
a Voiculescu dual group are constructed from conditionally positive
functionals. It is essential for this construction that Schoenberg
correspondence holds for dual groups: The exponential of a conditionally
positive functional is a convolution semigroup of states.

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