Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orthogonal expansions for generalized Gegenbauer weight function on the
  unit ball   Orthogonal polynomials and expansions are studied for the weight function
$h_\kappa^2(x) \|x\|^{2\nu} (1-\|x\|^2)^{\mu-1/2}$ on the unit ball of
$\mathbb{R}^d$, where $h_\kappa$ is a reflection invariant function, and for
related weight function on the simplex of $\mathbb{R}^d$. A concise formula for
the reproducing kernels of orthogonal subspaces is derived and used to study
summability of the Fourier orthogonal expansions.

33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th