2017/01/16 by Bernd Fritzsche, Fritzsche, Bernd, Bernd Kirstein +3
Chemistry · Mathematics · Physics and Astronomy · #44A60 #47A57 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Graph theory and applications #Molecular spectroscopy and chirality #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1701.04246
openalex publication_date 2017/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper treats several aspects of the truncated matricial [α,β]-Hausdorff type moment problems. It is shown that each [α,β]-Hausdorff moment sequence has a particular intrinsic structure. More precisely, each element of this sequence varies within a closed bounded matricial interval. The case that the corresponding moment coincides with one of the endpoints of the interval plays a particular important role. This leads to distinguished molecular solutions of the truncated matricial [α,β]-Hausdorff moment problem, which satisfy some extremality properties. The proofs are mainly of algebraic character. The use of the parallel sum of matrices is an essential tool in the proofs.