Invariant metrics for the quaternionic Hardy space
Complex Variables
2013-12-24 v2
Abstract
Riemannian metrics on the unit ball of the quaternions, which are naturally associated with the reproducing kernel Hilbert spaces. We study the metric arising from the Hardy space in detail. We show that, in contrast to the one-complex variable case, no Riemannian metric is invariant under regular self-maps of the quaternionic ball.
Cite
@article{arxiv.1312.5906,
title = {Invariant metrics for the quaternionic Hardy space},
author = {Nicola Arcozzi and Giulia Sarfatti},
journal= {arXiv preprint arXiv:1312.5906},
year = {2013}
}
Comments
27 pages