Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The 3-point spectral Pick interpolation problem and an application to
  holomorphic correspondences   We provide a necessary condition for the existence of a 3-point holomorphic
interpolant $F:\mathbb{D}\longrightarrow\Omega_n$, $n\geq 2$. Our condition is
inequivalent to the necessary conditions hitherto known for this problem. The
condition generically involves a single inequality and is reminiscent of the
Schwarz lemma. We combine some of the ideas and techniques used in our result
on the $\mathcal{O}(\mathbb{D},\Omega_n)$-interpolation problem to establish a
Schwarz lemma -- which may be of independent interest -- for holomorphic
correspondences from $\mathbb{D}$ to a general planar domain $\Omega\Subset
\mathbb{C}$.

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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas