Shift invariant subspaces of slice $L^2$ functions
Complex Variables
2018-06-13 v3
Abstract
In this paper we characterize the closed invariant subspaces for the (-)multiplier operator of the quaternionic space of slice functions. As a consequence, we obtain the inner-outer factorization theorem for the quaternionic Hardy space on the unit ball and we provide a characterization of quaternionic outer functions in terms of cyclicity.
Cite
@article{arxiv.1802.02344,
title = {Shift invariant subspaces of slice $L^2$ functions},
author = {Alessandro Monguzzi and Giulia Sarfatti},
journal= {arXiv preprint arXiv:1802.02344},
year = {2018}
}
Comments
19 pages. Typos fixed and minor changes