A Multiplicative Representation of the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem via New Dyukarev-Stieltjes Parameters.

A new multiplicative decomposition of the resolvent matrix of the truncated Hausdorff matrix moment (THMM) problem in the case of an odd and even number of moments via new Dyukarev-Stieltjes matrix (DSM) parameters is attained. Additionally, we derive Blaschke-Potapov factors of auxiliary resolvent...

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Bibliographic Details
Main Author: Abdon E. Choque-Rivero
Format: Article
Language:English
Published: V.N. Karazin Kharkiv National University Publishing 2017-11-01
Series:Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
Subjects:
Online Access:https://periodicals.karazin.ua/mech_math/article/view/10215