Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New classes of domains with explicit Bergman kernel   We introduce two classes of "egg type" domains, built on general bounded
symmetric domains, for which we compute the Bergmann kernel in explicit form.
We use the characterization of bounded symmetric domains through Jordan triple
systems. The egg type domains are defined using the generic norm. A
generalization of the Hua integral is computed; the result shows the existence
of a special polynomial with integer or half-integer coefficients, attached to
each irreducible bounded symmetric domain.

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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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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: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: math-ph