Carathéodory-Fejér interpolation in the ball

We use the theory of reproducing kernel Hilbert spaces to solve a Carathéodory–Fejér interpolation problem in the class of Schur multipliers of the reproducing kernel Hilbert space of functions analytic in the unit ball of CN with reproducing kernel 11−∑1Nzkwk*.

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Bibliographic Details
Published inLinear algebra and its applications Vol. 359; no. 1-3; pp. 1 - 19
Main Authors Alpay, D., Dubi, C.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 15.01.2003
Elsevier Science
Subjects
Algebra
Carathéodory–Fejér interpolation
Complete Nevanlinna–Pick kernels
Exact sciences and technology
Linear and multilinear algebra, matrix theory
Mathematics
Reproducing kernel Hilbert spaces
Sciences and techniques of general use
Complete Nevanlinna–Pick kernels
Reproducing kernel Hilbert spaces
Carathéodory–Fejér interpolation
32A70
47A57
Schur complement
Hilbert space
Reproducing kernel space
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Summary:We use the theory of reproducing kernel Hilbert spaces to solve a Carathéodory–Fejér interpolation problem in the class of Schur multipliers of the reproducing kernel Hilbert space of functions analytic in the unit ball of CN with reproducing kernel 11−∑1Nzkwk*.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(02)00430-5