Interpolation and local data for meromorphic matrix and operator functions

DOI10.1007/BF01257062zbMath0589.47015OpenAlexW2089697992MaRDI QIDQ1074082

Israel Gohberg, Leiba Rodman

Publication date: 1986

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01257062

zbMATH Keywords

interpolationgeneralization of the Mittag- Leffler theorem to matrix and operator valued meromorphic functionsgeneralization of the Mittag-Leffler theorem to matrix andJordan chains from left and right of the function and its inverseoperator valued meromorphic functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Interpolation in approximation theory (41A05)

Related Items

Reconstruction of a rational nonsquare matrix function from local data, Minimal factorization of meromorphic matrix functions in terms of local data, Local inverse spectral problems for rational matrix functions, Disguised and new quasi-Newton methods for nonlinear eigenvalue problems, Laurent interpolation for rational matrix functions and a local factorization principle, Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems

Cites Work

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• Minimal factorization of matrix and operator functions
• Analytic matrix functions with prescribed local data
• Rational matrix and operator functions with prescribed singularities
• On analytic fiber bundles. I: Holomorphic fiber bundles with infinite dimensional fibers
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ