English

Pick and Peak Interpolation

Complex Variables 2016-12-28 v1

Abstract

We show how Pick interpolation and interpolation on peak interpolation sets can be combined in an abstract uniform algebra setting. In particular as a special case, the Rudin-Carleson theorem can be combined with the classical Pick interpolation theorem on the disc.

Keywords

Cite

@article{arxiv.1612.08204,
  title  = {Pick and Peak Interpolation},
  author = {Alexander J. Izzo},
  journal= {arXiv preprint arXiv:1612.08204},
  year   = {2016}
}
R2 v1 2026-06-22T17:34:00.526Z