Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Berezin transforms on noncommutative varieties in polydomains   In this paper, we study noncommutative varieties in polydomains in $B(H)^n$.
The goal is to understand the structure of these varieties, determine their
elements and classify them up to unitary equivalence. Using noncommutative
Berezin transforms associated with each variety, we develop an operator model
theory and dilation theory for large classes of varieties in noncommutative
polydomains. This includes various commutative cases which are close connected
to the theory of holomorphic functions in several complex variables and
algebraic geometry.

26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom