Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal approximants and orthogonal polynomials in several variables II:
  families of polynomials in the unit ball   We obtain closed expressions for weighted orthogonal polynomials and optimal
approximants associated with the function $f(z)=1-\frac{1}{\sqrt{2}}(z_1+z_2)$
and a scale of Hilbert function spaces in the unit $2$-ball having reproducing
kernel $(1-\langle z,w\rangle)^{-\gamma}$, $\gamma>0$. Our arguments are
elementary but do not rely on reduction to the one-dimensional case.

13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex