The Quaternionic Hardy Space and the Geometry of the Unit Ball

The quaternionic Hardy space of slice regular functions H2(B) is a reproducing kernel Hilbert space. In this note we see how this property can be exploited to construct a Riemannian metric on the quaternionic unit ball B and we study the geometry arising from this construction. We also show that, in...

Full description

Bibliographic Details
Main Author: Giulia Sarfatti
Format: Article
Language:English
Published: University of Bologna 2015-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:http://mathematicalanalysis.unibo.it/article/view/5893