Truncated moment problems in the class of generalized Nevanlinna functions

DOI10.1002/mana.201100268zbMath1254.30032arXiv1101.0162OpenAlexW2061169488MaRDI QIDQ4648240

Hassi, Seppo, Hendrik S. V. de Snoo, Vladimir A. Derkach

Publication date: 8 November 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0162

zbMATH Keywords

moment problemasymptotic expansionHankel matrixgeneralized Nevanlinna functionSchur-Chebyshev algorithm

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Linear operator methods in interpolation, moment and extension problems (47A57) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (6)

Parametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Type Algorithm ⋮ On a minimal solution for the indefinite multidimensional truncated moment problem ⋮ An operator approach to the indefinite Stieltjes moment problem ⋮ Some propositions on generalized Nevanlinna functions of the class \(\mathcal N_k\) ⋮ On maximum mass measures in truncated matricial Hamburger moment problems and related interpolation problems ⋮ Completion, extension, factorization, and lifting of operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nevanlinna-Pick interpolation: The degenerated case
• On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
• Factorization of \(J\)-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions
• The extension theory of Hermitian operators and the moment problem
• A factorization result for generalized Nevanlinna functions of the class \(N_k\)
• On generalized resolvents of Hermitian relations in Krein spaces
• On realization of the Kreĭn-Langer class N_κ of matrix-valued functions in Pontryagin spaces
• Boundary interpolation and rigidity for generalized Nevanlinna functions
• Boundary rigidity for some classes of meromorphic functions
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
• Smooth rank one perturbations of selfadjoint operators
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A reproducing kernel space model for 𝐍_{𝜅}-functions

This page was built for publication: Truncated moment problems in the class of generalized Nevanlinna functions