Carathéodory-Fejér interpolation in the ball

D. Alpay, C. Dubi

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

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 C(N) with reproducing kernel 1 1-∑"1(N)z(k)w(k)(*).

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalLinear Algebra and Its Applications
Volume359
Issue number1-3
DOIs
StatePublished - 15 Jan 2003

Keywords

  • Carathéodory-Fejér interpolation
  • Complete Nevanlinna-Pick kernels
  • Reproducing kernel Hilbert spaces

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