Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

Alpay D., Kaptanoglu H.

INTEGRAL EQUATIONS AND OPERATOR THEORY, vol.42, no.1, pp.1-21, 2002 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 1
  • Publication Date: 2002
  • Doi Number: 10.1007/bf01203020
  • Journal Name: INTEGRAL EQUATIONS AND OPERATOR THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-21
  • Middle East Technical University Affiliated: No

Abstract

We solve Gleason's problem in the reproducing kernel Hilbert space with reproducing kernel 1/(1 - Sigma(1)(N) z(j)w(j)*). We define and study some finite-dimensional resolvent-invariant subspaces that generalize the finite-dimensional de Branges-Rovnyak spaces to the setting of the ball.