English

Free holomorphic functions and interpolation

Functional Analysis 2009-02-04 v2 Operator Algebras

Abstract

In this paper we obtain a noncommutative multivariable analogue of the classical Nevanlinna-Pick interpolation problem for analytic functions with positive real parts on the open unit disc. As consequences, we deduce some results concerning operator-valued analytic interpolation on the unit ball on C^n.

Keywords

Cite

@article{arxiv.0711.2970,
  title  = {Free holomorphic functions and interpolation},
  author = {Gelu Popescu},
  journal= {arXiv preprint arXiv:0711.2970},
  year   = {2009}
}

Comments

20 pages

R2 v1 2026-06-21T09:44:56.356Z