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.
Shift invariant subspaces of slice L^2 functions / Alessandro Monguzzi; Giulia Sarfatti. - In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA. - ISSN 1798-2383. - STAMPA. - 43:(2018), pp. 1045-1061. [10.5186/aasfm.2018.4366]
Shift invariant subspaces of slice L^2 functions
Giulia Sarfatti
2018
Abstract
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Pubblicazione_12_AASF.pdf
Accesso chiuso
Descrizione: Articolo
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
239.56 kB
Formato
Adobe PDF
|
239.56 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
