Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blaschke-type conditions in unbounded domains, generalized convexity and
  applications in perturbation theory   We introduce a new geometric characteristic of compact sets on the plane
called $r$-convexity, which fits nicely into the concept of generalized
convexity and extends essentially the conventional convexity. For a class of
subharmonic functions on unbounded domains with $r$-convex compact complement,
with the growth governed by the distance to the boundary, we obtain the
Blaschke--type condition for their Riesz measures. The result is applied to the
study of the convergence of the discrete spectrum for the Schatten--von Neumann
perturbations of bounded linear operators in the Hilbert space.

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The categories of this paper are: eess
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph