Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A point interaction for the discrete Schr\"odinger operator and
  generalized Chebyshev polynomials   We consider semi-infinite Jacobi matrices corresponding to a point
interaction for the discrete Schr\"odinger operator. Our goal is to find
explicit expressions for the spectral measure, the resolvent and other spectral
characteristics of such Jacobi matrices. It turns out that their spectral
analysis leads to a new class of orthogonal polynomials generalizing the
classical Chebyshev polynomials.

13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex