English

Quaternionic Hankel operators and approximation by slice regular functions

Complex Variables 2016-11-16 v2

Abstract

In this paper we study Hankel operators in the quaternionic setting. In particular we prove that they can be exploited to measure the LL^{\infty} distance of a slice LL^{\infty} function from the space of bounded slice regular functions.

Keywords

Cite

@article{arxiv.1501.02079,
  title  = {Quaternionic Hankel operators and approximation by slice regular functions},
  author = {Giulia Sarfatti},
  journal= {arXiv preprint arXiv:1501.02079},
  year   = {2016}
}

Comments

19 pages

R2 v1 2026-06-22T07:56:01.856Z