Interpolation with symmetry and a Herglotz theorem in the bicomplex setting

Daniel Alpay, Izchak Lewkowicz, Mihaela Vajiac

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We present a new approach to Schur analysis in the bicomplex setting, reducing the various underlying questions to interpolation problems in the complex setting with an appropriate symmetry condition.

Original languageEnglish
Article number127201
JournalJournal of Mathematical Analysis and Applications
Volume524
Issue number2
DOIs
StatePublished - 15 Aug 2023

Keywords

  • Bi-tangential interpolation
  • Bicomplex analysis
  • Carathéodory functions
  • Positive functions
  • Two-sided interpolation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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