Traces of the Nevanlinna Class on Discrete Sequences

A. Hartmann, X. Massaneda, A. Nicolau

Research output: Contribution to journalArticleResearch

4 Citations (Scopus)

Abstract

© 2017, Springer International Publishing AG. We show that a discrete sequence Λ of the unit disk is the union of n interpolating sequences for the Nevanlinna class N if and only if the trace of N on Λ coincides with the space of functions on Λ for which the divided differences of order n- 1 are uniformly controlled by a positive harmonic function.
Original languageEnglish
Pages (from-to)1945-1958
JournalComplex Analysis and Operator Theory
Volume12
DOIs
Publication statusPublished - 1 Nov 2018

Keywords

  • Divided differences
  • Interpolating sequences
  • Nevanlinna class

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