Complete interpolation vs. Riesz bases of reproducing kernels

Simon R. Cowell, Philippe Poulin

Research output: Contribution to journalArticlepeer-review

Abstract

In the study of Hilbert spaces of analytic functions, it is noticed that complete interpolating sequences and Riesz bases of reproducing kernels are dual notions. In this work we make this duality explicit by identifying sequences of complex numbers with linear operators.

Original languageEnglish
Pages (from-to)103-109
Number of pages7
JournalActa Mathematica Academiae Paedagogicae Nyiregyhaziensis
Volume30
Issue number1
Publication statusPublished - 2014

Keywords

  • Interpolation
  • Riesz basis
  • Spaces of entire functions

ASJC Scopus subject areas

  • General Mathematics
  • Education

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