The inverse problem for orthogonal Krein matrix functions

DOI10.1007/s10688-007-0011-1zbMath1255.47017OpenAlexW2032472537MaRDI QIDQ2458033

Leonid Lerer, Marinus A. Kaashoek, Israel Gohberg

Publication date: 31 October 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-007-0011-1

zbMATH Keywords

inverse problemJordan chainroot functionentire matrix function equationcontinuous analog of orthogonal polynomialsKrein orthogonal function

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear operator methods in interpolation, moment and extension problems (47A57) Integral operators (47G10) Special classes of linear operators (47B99)

Related Items (2)

Ellis-Gohberg identities for certain orthogonal functions. I: Block matrix generalizations and \({\ell}^2\)-setting ⋮ The band method and inverse problems for orthogonal matrix functions of Szegő-Kreǐn type

Cites Work

• On Fredholm integral equations, Toeplitz equations and Kalman-Bucy filtering
• Classes of linear operators. Vol. II
• Orthogonal systems and convolution operators
• Partially specified matrices and operators: classification, completion, applications
• On Krein's differential system and its generalization
• On a class of entire matrix function equations
• A view of three decades of linear filtering theory
• Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
• On the zeros of some continuous analogues of matrix orthogonal polynomials and a related extension problem with negative squares
• To the spectral theory of Krein systems
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