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The Schur algorithm and reproducing kernel Hilbert spaces in the ball

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Názov: The Schur algorithm and reproducing kernel Hilbert spaces in the ball
Autori: Alpay, Daniel, Bolotnikov, Vladimir, KaptanoÄŸlu, H. Turgay
Zdroj: Linear Algebra and its Applications. 342:163-186
Informácie o vydavateľovi: Elsevier BV, 2002.
Rok vydania: 2002
Predmety: Schur algorithm, Numerical Analysis, Algebra and Number Theory, Functional analysis techniques applied to functions of several complex variables, Unit ball, Nevanlinna-Pick interpolation problem, 01 natural sciences, Schur-type algorithm, Algebra, reproducing kernel methods, Leech's theorem, Discrete Mathematics and Combinatorics, Geometry and Topology, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Other Mathematics, Linear operator methods in interpolation, moment and extension problems
Popis: Using reproducing kernel Hilbert space methods, the authors develop a Schur-type algorithm for a subclass of the functions which are analytic and contractive in the ball. They also consider the Nevanlinna-Pick interpolation problem in that class.
Druh dokumentu: Article
Popis súboru: application/xml
Jazyk: English
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(01)00448-7
Prístupová URL adresa: https://zbmath.org/1741567
https://doi.org/10.1016/s0024-3795(01)00448-7
https://www.sciencedirect.com/science/article/abs/pii/S0024379501004487
https://digitalcommons.chapman.edu/scs_articles/461/
https://avesis.metu.edu.tr/yayin/6c79c99e-2ce5-432b-91a6-c54a214a68b9/the-schur-algorithm-and-reproducing-kernel-hilbert-spaces-in-the-ball
https://www.sciencedirect.com/science/article/pii/S0024379501004487
http://www.fen.bilkent.edu.tr/~kaptan/Files/schur.pdf
Rights: Elsevier Non-Commercial
Prístupové číslo: edsair.doi.dedup.....b95c67a898e9fc0ba5c67286c8ebd26e
Databáza: OpenAIRE
Popis
Abstrakt:Using reproducing kernel Hilbert space methods, the authors develop a Schur-type algorithm for a subclass of the functions which are analytic and contractive in the ball. They also consider the Nevanlinna-Pick interpolation problem in that class.
ISSN:00243795
DOI:10.1016/s0024-3795(01)00448-7