# Shift invariant subspaces of slice $L^2$ functions

created by sarfatti on 11 May 2018
modified on 19 Feb 2020

[BibTeX]

Published Paper

Inserted: 11 may 2018
Last Updated: 19 feb 2020

In this paper we characterize the closed invariant subspaces for the ($*$-)multiplier operator of the quaternionic space of slice $L^2$ 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.