Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schur analysis of matricial Hausdorff moment sequences   We develop the algebraic instance of an algorithmic approach to the matricial
Hausdorff moment problem on a compact interval $[\alpha,\beta]$ of the real
axis. Our considerations are along the lines of the classical Schur algorithm
and the treatment of the Hamburger moment problem on the real axis by
Nevanlinna. More precisely, a transformation of matrix sequences is
constructed, which transforms Hausdorff moment sequences into Hausdorff moment
sequences reduced by 1 in length. It is shown that this transformation
corresponds essentially to the left shift of the associated sequences of
canonical moments. As an application, we show that a matricial version of the
arcsine distribution can be used to characterize a certain centrality property
of non-negative Hermitian measures on $[\alpha,\beta]$.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin