On the truncated matricial Stieltjes moment problem M[[α,∞);(s_j)_j=0^m,≤]

2017/07/19 by Bernd Fritzsche, Bernd Kirstein, Fritzsche, Bernd +5
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1707.06000

openalex publication_date 2017/07/19 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

This paper gives via Stieltjes transform a complete description of the solution set of a matricial truncated Stieltjes-type power moment problem in the non-degenerate and degenerate cases. The approach is based on the Schur type algorithm which was worked out in the papers [arXiv:1604.07240, arXiv:1604.07629]. Furthermore, the subset of parameters is determined which corresponds to another truncated matricial Stieltjes-type moment problem.

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