English

Pick interpolation in several variables

Functional Analysis 2011-10-06 v2 Complex Variables

Abstract

We investigate the Pick problem for the polydisk and unit ball using dual algebra techniques. Some factorization results for Bergman spaces are used to describe a Pick theorem for any bounded region in Cd\mathbb{C}^d.

Keywords

Cite

@article{arxiv.1110.0445,
  title  = {Pick interpolation in several variables},
  author = {Ryan Hamilton},
  journal= {arXiv preprint arXiv:1110.0445},
  year   = {2011}
}

Comments

v2, minor revisions. 7 pages

R2 v1 2026-06-21T19:14:23.120Z