Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the eigenfunctions of Sturm--Liouville operators with potentials ---
  distributions   In this paper we study a Sturm--Liouville operator $Ly=-y"+q(x)y$ in the
space $L_2[0,\pi]$ with Direchlet boundary conditions. Here the potential $q$
is a first order distribution: $q\in W_2^{-1}[0,\pi]$. Such operators were
defined in our previous papers. Here we clerify two leading terms in asymptotic
formulae for eigenfunctions of such operators and for functions of biorthogonal
system.

7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph