zbMath1159.30001MaRDI QIDQ3534627
Harry Dym, Damir Z. Arov
Publication date: 3 November 2008
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)
Linear operator methods in interpolation, moment and extension problems (47A57)
Positive definite functions in one variable harmonic analysis (42A82)
Moment problems and interpolation problems in the complex plane (30E05)
Research exposition (monographs, survey articles) pertaining to operator theory (47-02)
Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02)
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01)
Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01)
Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)
Coefficient stripping in the matricial Nehari problem ⋮
On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions ⋮
Boundary Triplets, Weyl Functions, and the Kreĭn Formula ⋮
de Branges–Rovnyak Spaces: Basics and Theory ⋮
de Branges Spaces of Vector-Valued Functions ⋮
Applications of de Branges Spaces of Vector-Valued Functions ⋮
Realization of Herglotz–Nevanlinna Functions by Conservative Systems ⋮
Generalized \(\gamma\)-generating matrices ⋮
B-regular J-inner Matrix-valued Functions ⋮
Weyl functions of generalized Dirac systems: integral representation, the inverse problem and discrete interpolation ⋮
Induced representations and hypercomplex numbers ⋮
Redheffer representations and relaxed commutant lifting ⋮
Schur-Nevanlinna-Potapov sequences of rational matrix functions ⋮
On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case. II ⋮
Multiplication operators with deficiency indices \((p,p)\) and sampling formulas in reproducing kernel Hilbert spaces of entire vector valued functions ⋮
Bitangential interpolation in generalized Schur classes ⋮
Higher-order interlacing for matrix-valued meromorphic Herglotz functions ⋮
Rigged de Branges-Pontryagin spaces and their application to extensions and embedding ⋮
A pre-order on operators with positive real part and its invariance under linear fractional transformations ⋮
Vector valued de Branges spaces of entire functions based on pairs of Fredholm operator valued functions and functional model ⋮
Functional models of operators and their multivalued extensions in Hilbert space ⋮
Interpolation in multivariable de Branges-Rovnyak spaces ⋮
Minimum \(w\)-entropy interpolants for matricial Carathéodory functions and maximum determinant completions of associated block Pick matrix ⋮
Matrix monotonicity and concavity of the principal pivot transform ⋮
Adaptive orthonormal systems for matrix-valued functions ⋮
Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮
Multivariate prediction and matrix Szegő theory ⋮
Trace formulas for a class of truncated block Toeplitz operators ⋮
On the relation between the Darlington realizations of matrix functions from the Carathéodory class and their \(J_{p,r}\)-inner SI-dilations ⋮
Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index ⋮
On ranges and Moore-Penrose inverses related to matrix Carathéodory and Schur functions ⋮
Trace formulas for a class of vector-valued Wiener-Hopf like operators. II ⋮
Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces ⋮
On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via \([0, \infty)\)-Stieltjes transformed sequences ⋮
A generalized Schur-Takagi interpolation problem ⋮
Classes of de Branges Matrices and Corresponding de Branges Spaces ⋮
On Conditions of Complete Indeterminacy for the Matricial Hamburger Moment Problem ⋮
Inner outer factorization of wide rational matrix valued functions on the half plane ⋮
Step-by-step solving of ordered interpolation problem for Stieltjes functions ⋮
Factorization of generalized \(\gamma\)-generating matrices ⋮
Multi-operator colligations and multivariate characteristic functions ⋮
Ellis-Gohberg identities for certain orthogonal functions. I: Block matrix generalizations and \({\ell}^2\)-setting ⋮
Trace formulas for a class of vector-valued Wiener-Hopf like operators. I ⋮
A criterion of unconditional basis property for the families of vector exponentials ⋮
Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem and sine-Gordon equation ⋮
Compressed resolvents, Schur functions, Nevanlinna families and their transformations ⋮
More on a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case ⋮
Canonical systems with discrete spectrum ⋮
CMV matrices, a matrix version of Baxter's theorem, scattering and de Branges spaces ⋮
Closed-form expression for finite predictor coefficients of multivariate ARMA processes ⋮
MIMO frequency domain system identification using matrix-valued orthonormal functions ⋮
Reflectionless canonical systems. I: Arov gauge and right limits ⋮
Entries of indefinite Nevanlinna matrices ⋮
Criterion for the complete indeterminacy of the Nevanlinna-Pick matrix problem ⋮
Two classes of vector valued de Branges spaces ⋮
Norms of basic operators in vector valued model spaces and de Branges spaces ⋮
On Canonical Solutions of a Moment Problem for Rational Matrix-valued Functions ⋮
Interpolation in Sub-Bergman Spaces ⋮
Orthogonal rational functions with real poles, root asymptotics, and GMP matrices ⋮
Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces
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