DOI

We study the bases and frames of reproducing kernels in the model subspaces K 2 = H2 ⊖H2 of the Hardy class H2 in the upper half-plane. The main problem under consideration is the stability of a basis of reproducing kernels kλn (z) = (1-⊖(λn)⊖(z))/(z - λn) under "small" perturbations of the points λn. We propose an approach to this problem based on the rerently obtained estimates of derivatives in the spaces K 2 and produce estimates of admissible perturbations generalizing certain results of W.S. Cohn and E. Fricain.

Original languageEnglish
JournalAnnales de l'Institut Fourier
Volume55
Issue number7
DOIs
StatePublished - 1 Jan 2005

    Research areas

  • Frame, Inner function, Reproducing kernel, Riesz basis, Shift-coinvariant subspace, Stability

    Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

ID: 32721663