The Schur algorithm and reproducing kernel Hilbert spaces in the ball

DOI10.1016/S0024-3795(01)00448-7zbMath1015.47008MaRDI QIDQ1347940

H. Turgay Kaptanoğlu, Daniel Alpay, Vladimir Bolotnikov

Publication date: 15 May 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://www.mathematicsweb.org/pub/8/4/48/173/27/38/abstract.html

zbMATH Keywords

Nevanlinna-Pick interpolation problemreproducing kernel methodsSchur-type algorithm

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Functional analysis techniques applied to functions of several complex variables (32A70)

Related Items

Interpolation for multipliers on reproducing kernel Hilbert spaces, Factorizations induced by complete Nevanlinna-Pick factors, Decomposition of Gaussian processes, and factorization of positive definite kernels, Harmonic analysis of network systems via kernels and their boundary realizations, Interpolation in multivariable de Branges-Rovnyak spaces, Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball., A Gleason-Kahane-Żelazko theorem for the Dirichlet space, Approximate solutions of fuzzy differential equations of fractional order using modified reproducing kernel Hilbert space method, Restrictions and extensions of semibounded operators, On a bitangential interpolation problem for contractive-valued functions on the unit ball, Carathéodory Fejér interpolation in the ball with mixed derivatives, The Smirnov classes for the Fock space and complete Pick spaces, Operators affiliated to the Free shift on the Free Hardy Space, Carathéodory--Fejér interpolation in the ball.

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