Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The non-symmetric Wilson polynomials are the Bannai-Ito polynomials   The one-variable non-symmetric Wilson polynomials are shown to coincide with
the Bannai-Ito polynomials. The isomorphism between the corresponding
degenerate double affine Hecke algebra of type $(C_1^{\vee}, C_1)$ and the
Bannai-Ito algebra is established. The Bannai-Ito polynomials are seen to
satisfy an orthogonality relation with respect to a positive-definite and
continuous measure on the real line. A non-compact form of the Bannai-Ito
algebra is introduced and a four-parameter family of its infinite-dimensional
and self-adjoint representations is exhibited.

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The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat