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Analytic matrix functions with prescribed local data

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Local and Global Equivalence of Meromorphic Operator Functions Part I
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Local and Global Equivalence of Meromorphic Operator Functions Part II
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Analytische Faserungen �ber holomorph-vollst�ndigen R�umen
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КонечномернЫе операторЫ, аналитически зависящие от параметра
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On spectral analysis of non-monic matrix and operator polynomials, I. Reduction to monic polynomials
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On spectral analysis of non-monic matrix and operator polynomials, II. Dependence on the finite spectral data
inferredcites →https://doi.org/10.1016/0016-0032(64)90102-4openalex-snapshot
Functions of a complex variable
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Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix II: The infinite dimensional case
inferredcites →https://doi.org/10.1016/0022-247x(80)90137-7openalex-snapshot
Stable factorization of operator polynomials, I. Spectral divisors simply behaved at infinity
inferredcites →https://doi.org/10.1016/0024-3795(78)90026-5openalex-snapshot
Spectral analysis of matrix polynomials— I. canonical forms and divisors
inferredcites →https://doi.org/10.1016/0024-3795(87)90201-1openalex-snapshot
Spectral analysis of matrix polynomials— II. The resolvent form and spectral divisors
inferredcites →https://doi.org/10.1057/jors.1976.137openalex-snapshot
Introduction to Mathematical Control Theory
inferredcites →https://doi.org/10.1070/sm1971v013n04abeh003702openalex-snapshot
AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
inferredcites →https://doi.org/10.1512/iumj.1981.30.30027openalex-snapshot
inferredcites →https://doi.org/10.2307/2315931openalex-snapshot
Theory of Functions of a Complex Variable.
inferredcites →https://doi.org/10.2307/3009068openalex-snapshot
Introduction to Mathematical Control Theory

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Interpolation and Divisibility of Meromorphic Matrix Functions
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An Estimate for the Splitting of Holomorphic Cocycles. One Variable
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Minimal Divisors of Rational Matrix Functions with Prescribed Zero and Pole Structure
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Inverse Spectral Problems for Regular Improper Rational Matrix Functions
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Null-Pole Subspaces: Elementary Properties
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A Note on Factorization of Analytic Matrix Functions
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Recent Advances in Operator Theory
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An Elementary Derivation of the Projection Method for Nonlinear Eigenvalue Problems Based on Complex Contour Integration
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Algebraic Multiplicity of Eigenvalues of Linear Operators
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Minimal factorization of meromorphic matrix functions in terms of local data
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Local inverse spectral problems for rational matrix functions
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Interpolation and local data for meromorphic matrix and operator functions
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Analytic operator functions with compact spectrum. I. Spectral nodes, linearization and equivalence
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Analytic operator functions with compact spectrum. II. Spectral pairs and factorization
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Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems
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Numerical methods for finding multiple eigenvalues of matrices depending on parameters
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Factorization of a class of meromorphic matrix valued functions
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Wiener-Hopf factorization of placewise matrix polynomials
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Global inverse spectral problems for rational matrix functions
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The two-sided residue interpolation in the stieltjes class for matrix functions
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Quadratic matrix polynomials with a parameter
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The fundamental equations for inversion of operator pencils on Banach space
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On the computation of the Jordan canonical form of regular matrix polynomials
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An integral method for solving nonlinear eigenvalue problems
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Distance bounds for prescribed multiple eigenvalues of matrix polynomials
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The fundamental equations for the generalized resolvent of an elementary pencil in a unital Banach algebra
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Analytic matrix descriptions with application to time-delay systems
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Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity
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A bundle view of boundary-value problems: generalizing the Gardner–Jones bundle
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Perturbation of null spaces with application to the eigenvalue problem and generalized inverses
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Correction and addition
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First Passage of a Markov Additive Process and Generalized Jordan Chains
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Constructing the symplectic Evans matrix using maximally analytic individual vectors
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The nonlinear eigenvalue problem
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A Numerical Method for Estimating the Nonlinear Eigenvalue Numbers of Boundary Element
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Perturbation of analytic hermitian matrix functions
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A smallest singular value method for nonlinear eigenvalue problems
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Two-Sided Reflection of Markov-Modulated Brownian Motion
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Canonical forms of holomorphic and meromorphic matrices
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On the Structure of Selfadjoint Toeplitz Operators with Rational Matrix Symbols
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Convolution Operators in a Fading Memory Space: The Critical Case
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Subspaces of Stable and Unstable Solutions of a Functional Differential Equation in a Fading Memory Space: The Critical Case
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Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
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Inversion of Analytic Matrix Functions That are Singular at the Origin
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A numerical method for nonlinear eigenvalue problems using contour integrals
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Stochastic estimation method of eigenvalue density for nonlinear eigenvalue problem on the complex plane
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First passage process of a Markov additive process, with applications to reflection problems
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