Hilbert spaces of analytic functions, inverse scattering and operator models. II

DOI10.1007/BF01202812zbMath0558.47016MaRDI QIDQ762743

Daniel Alpay, Harry Dym

Publication date: 1985

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

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40)

Related Items (30)

On a general moment problem and certain matrix equations ⋮ The bitangential inverse spectral problem for canonical systems ⋮ Carathéodory--Fejér interpolation in locally convex topological vector spaces ⋮ A quantitative maximum entropy theorem for the real line ⋮ A remark on the Cowen Douglas classes \(B_ n(\Omega)\) ⋮ Applications of de Branges Spaces of Vector-Valued Functions ⋮ On tangential \(H_ 2\) interpolation with second order norm constraints ⋮ \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. I: Foundations ⋮ Multiplication operators with deficiency indices \((p,p)\) and sampling formulas in reproducing kernel Hilbert spaces of entire vector valued functions ⋮ On three Klein extension problems and some generalizations ⋮ Rigged de Branges-Pontryagin spaces and their application to extensions and embedding ⋮ Schur functions and their realizations in the slice hyperholomorphic setting ⋮ Interpolation with symmetry and a Herglotz theorem in the bicomplex setting ⋮ On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy ⋮ Structured invariant spaces of vector valued rational functions, Hermitian matrices, and a generalization of the Iohvidov laws ⋮ Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces ⋮ A characterization of boundary representations of positive matrices in the Hardy space via the Abel product ⋮ Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II ⋮ Matricial Nehari problems, \(J\)-inner matrix functions and the Muckenhoupt condition ⋮ Toeplitz operators with rational symbols, reciprocity ⋮ Pairs of selfadjoint operators and their invariants ⋮ A matrix characterization of boundary representations of positive matrices in the Hardy space ⋮ The Fock space as a de Branges-Rovnyak space ⋮ Carathéodory functions in the Banach space setting ⋮ Positive matrices in the Hardy space with prescribed boundary representations via the Kaczmarz algorithm ⋮ Realization theorems for stationary multiscale systems ⋮ Carathéodory - Fejér Problem for Pairs of Meromorphic Functions ⋮ De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane ⋮ A trace formula for canonical differential expressions. ⋮ A maximum entropy principle for contractive interpolants

Cites Work

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• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume \(\Pi_k\). zusammenhängen. II. Verallgemeinerte Resolventen, u-Resolventen und ganze Operatoren
• Extensions of matrix valued functions with rational polynomial inverses
• On an extension problem, generalized Fourier analysis, and an entropy formula
• Problem of search of the minimum of entropy in indeterminate extension problems
• L-resolvent matrices of symmetric linear relations with equal defect numbers; applications to canonical differential relations
• Extensions of kernels of Fredholm operators
• The multiplicative structure of 𝐽-contractive matrix functions
• Lattice filter parameterization and modeling of nonstationary processes
• Lossless inverse scattering, digital filters, and estimation theory
• The Nevanlinna–Pick Problem for Matrix-Valued Functions
• Lossless chain scattering matrices and optimum linear prediction: The vector case
• Schur recursions, error formulas, and convergence of rational estimators for stationary stochastic sequences
• Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)

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