Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Janossy densities, multimatrix spacing distributions and Fredholm
  resolvents   A simple proof is given for a generalized form of a theorem of Soshnikov. The
latter states that the Janossy densities for multilevel determinantal ensembles
supported on measurable subspaces of a set of measure spaces are constructed by
dualization of bases on dual pairs of N-dimensional function spaces with
respect to a pairing given by integration on the complements of the given
measurable subspaces. The generalization extends this to dualization with
respect to measures modified by arbitrary sets of weight functions.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn