Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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A. Monguzzi - G. Sarfatti

Shift invariant subspaces of slice $L^2$ functions

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


Published Paper

Inserted: 11 may 2018
Last Updated: 19 feb 2020

Journal: Ann. Acad. Sci. Fenn.
Volume: 43
Year: 2018

ArXiv: 1802.02344 PDF
Links: arxiv


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.

Tags: SIR2014-AnHyC

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