A Potapov-Type Approach to a Truncated Matricial Stieltjes-Type Power Moment Problem

Bernd Fritzsche (), Bernd Kirstein (), Conrad Mädler () and Tatsiana Makarevich ()
Additional contact information
Bernd Fritzsche: University of Leipzig, Department of Mathematics
Bernd Kirstein: University of Leipzig, Department of Mathematics
Conrad Mädler: University of Leipzig
Tatsiana Makarevich: Fakultät für Mathematik und Informatik, Universität Leipzig

A chapter in Advancements in Complex Analysis, 2020, pp 193-297 from Springer

Abstract: Abstract The paper gives a parametrization of the solution set of a matricial Stieltjes-type truncated power moment problem in the non-degenerate and degenerate cases. The key role plays the solution of the corresponding system of Potapov’s fundamental matrix inequalities. The original matricial moment problem will be reformulated in a system of interpolation problems for distinguished classes of holomorphic q × q matrix-valued functions. A key instrument of our strategy is to use an appropriate synthesis of techniques from the theory of meromorphic matrix-valued functions with elements from the J-theory due to V. P. Potapov.

Date: 2020
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-40120-7_6

Ordering information: This item can be ordered from
http://www.springer.com/9783030401207

DOI: 10.1007/978-3-030-40120-7_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().