zbMath0594.46022MaRDI QIDQ3724961
Harry Dym, Daniel Alpay
Publication date: 1986
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Finite dimensional de Branges spaces on Riemann surfaces ⋮
Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems ⋮
Inverse spectral problems for difference operators with rational scattering matrix function ⋮
A construction of unitary linear systems ⋮
The Schur algorithm and reproducing kernel Hilbert spaces in the ball ⋮
On invertibility of nonsquare generalized Bezoutians ⋮
Boundary Triplets, Weyl Functions, and the Kreĭn Formula ⋮
Schur Analysis in an Indefinite Setting ⋮
Applications of de Branges Spaces of Vector-Valued Functions ⋮
Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case ⋮
Generalized \(\gamma\)-generating matrices ⋮
Von Neumann indices and classes of positive definite functions ⋮
\(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting ⋮
Krein spaces of analytic functions ⋮
Reflection positivity via Krein space analysis ⋮
Dilatations des commutants d'opérateurs pour des espaces de Krein de fonctions analytiques. (Dilations of commutants of operators for Krein spaces of analytic functions) ⋮
A truncated indefinite Stieltjes moment problem ⋮
On a new class of realization formulas and their application ⋮
Beurling-Lax type theorems and Cuntz relations ⋮
Bitangential interpolation in generalized Schur classes ⋮
Convex cones of generalized positive rational functions and the Nevanlinna-Pick interpolation ⋮
Positivity, rational Schur functions, Blaschke factors, and other related results in the Grassmann algebra ⋮
Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions ⋮
An operator approach to the indefinite Stieltjes moment problem ⋮
Rigged de Branges-Pontryagin spaces and their application to extensions and embedding ⋮
A dilation theoretic approach to approximation by inner functions ⋮
Schur functions and their realizations in the slice hyperholomorphic setting ⋮
Adaptive orthonormal systems for matrix-valued functions ⋮
Schur algorithm in the class \({\mathcal{SI}}\) of \(J\)-contractive functions intertwining solutions of linear differential equations ⋮
Commuting operators over Pontryagin spaces with applications to system theory ⋮
On applications of Schauder's fixed-point theorem for the solution of the non-symmetric algebraic Riccati equation ⋮
Structured invariant spaces of vector valued rational functions, Hermitian matrices, and a generalization of the Iohvidov laws ⋮
Structured invariant spaces of vector valued functions, sesquilinear forms, and a generalization of the Iohvidov laws ⋮
Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces ⋮
Krein-Langer factorization and related topics in the slice hyperholomorphic setting ⋮
Factorization of \(J\)-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions ⋮
Generalized Schur-Nevanlinna functions and their realizations ⋮
A generalized Schur-Takagi interpolation problem ⋮
Boundary interpolation and rigidity for generalized Nevanlinna functions ⋮
On the reproducing kernel of a Pontryagin space of vector valued polynomials ⋮
Factorizations of and extensions to J-unitary rational matrix functions on the unit circle ⋮
Factorization of generalized \(\gamma\)-generating matrices ⋮
A Schur transformation for functions in a general class of domains ⋮
On a new class of reproducing kernel spaces and a new generalization of the Iohvidov laws ⋮
Beurling-Lax type theorems in the complex and quaternionic setting ⋮
The Fock space as a de Branges-Rovnyak space ⋮
Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation ⋮
On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis ⋮
A theorem on reproducing kernel Hilbert spaces of pairs ⋮
Realizations for Schur upper triangular operators centered at an arbitrary point ⋮
A structure theorem for reproducing kernel Pontryagin spaces ⋮
Realization theorems for stationary multiscale systems ⋮
\(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization ⋮
Realizations of slice hyperholomorphic generalized contractive and positive functions
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