Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Wiener-It\^o Chaos Decomposition Revisited   In this article, some properties of complex Wiener-It\^o multiple integrals
and complex Ornstein-Uhlenbeck operators and semigroups are obtained. Those
include Stroock's formula, Hu-Meyer formula, Clark-Ocone formula and the
hypercontractivity of complex Ornstein-Uhlenbeck semigroups. As an application,
several expansions of the fourth moments of complex Wiener-It\^o multiple
integrals are given.

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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn