Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The truncated matrix trigonometric moment problem with an open gap   This paper is a continuation of our previous investigations on the truncated
matrix trigonometric moment problem in Ukrainian Math. J., 2011, \textbf{63},
no. 6, 786-797, and Ukrainian Math. J., 2013, \textbf{64}, no. 8, 1199-1214. In
this paper we shall study the truncated matrix trigonometric moment problem
with an additional constraint posed on the matrix measure
$M_{\mathbb{T}}(\delta)$, $\delta\in \mathfrak{B}(\mathbb{T})$, generated by
the seeked function $M(x)$: $M_{\mathbb{T}}(\Delta) = 0$, where $\Delta$ is a
given open subset of $\mathbb{T}$ (called a gap). We present necessary and
sufficient conditions for the solvability of the moment problem with a gap. All
solutions of the moment problem with a gap can be constructed by a
Nevanlinna-type formula.

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The categories of this paper are: econ
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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: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: physics