Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equiconvergence theorems for Sturm--Liouville operators with
  distribution potentials^ the rate of equiconvergence   We consider a Sturm--Liouville operator $Ly=-y''+qy$ in $L_2[0,\pi]$ with
Dirichlet boundary conditions. We assume, that the potential $q$ is complex
valued and belongs to Sobolev space $W_2^\theta[0,\pi]$, $\theta\in(-1,-1/2$.
This operators were successfully defined in papers of Savchuk A.M. and
Shkalikov A.A. There were also shown, that theese operators have a discrete
spectrum, which we denote by $\{\lambda_n\}$, and $\lim\lambda_n=+\infty$. All
but finitely many of them are simple. The eigenfunctions form the Riesz basis
in $L_2[0,\pi]$. We investigate a uniform on $[0,\pi]$ equiconvergence of
series for this system and for trigonometric system $\{\sin(nt)\}_1^\infty$. We
obtain not only a theorems of equiconvergence, but also estimate a rate of this
equiconvergence.

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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin