Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Condition R and proper holomorphic maps between equidimensional product
  domains   We consider proper holomorphic mappings of equidimensional pseudoconvex
domains in complex Euclidean space, where both source and target can be
represented as Cartesian products of smoothly bounded domains. It is shown that
such mappings extend smoothly up to the closures of the domains, provided each
factor of the source satisfies Condition R. It also shown that the number of
smoothly bounded factors in the source and target must be the same, and the
proper holomorphic map splits as product of proper mappings between the factor
domains.

16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol