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• W2967827765 abstract "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 $[alpha,beta]$." @default.
• W2967827765 created "2019-08-22" @default.
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• W2967827765 date "2019-08-14" @default.
• W2967827765 modified "2023-09-27" @default.
• W2967827765 title "Schur analysis of matricial Hausdorff moment sequences" @default.
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• W2967827765 hasPublicationYear "2019" @default.
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