Geodesic
Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball
Kunyu Guo1 ; Yongjiang Duan2
1 Department of Mathematics Fudan University Shanghai, 200433, P.R. China
2 Department of Mathematics Fudan University Shanghai 200433, P.R. China
Studia Mathematica, Tome 177 (2006) no. 2, pp. 141-152

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $M$ be a Beurling-type submodule of $H^2(\mathbb{B}_d),$ the Hardy space over the unit ball ${\mathbb{B}_d}$ of $\mathbb{C}^d$, and let $N=H^2(\mathbb{B}_d)/M$ be the associated quotient module. We completely describe the spectrum and essential spectrum of $N$, and related index theory.
DOI : 10.4064/sm177-2-4
Keywords: beurling type submodule mathbb hardy space unit ball mathbb mathbb mathbb associated quotient module completely describe spectrum essential spectrum related index theory

Kunyu Guo 1 ; Yongjiang Duan 2

1 Department of Mathematics Fudan University Shanghai, 200433, P.R. China
2 Department of Mathematics Fudan University Shanghai 200433, P.R. China 
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Kunyu Guo; Yongjiang Duan. Spectral properties of quotients of
 Beurling-type submodules of the Hardy module over the unit ball. Studia Mathematica, Tome 177 (2006) no. 2, pp. 141-152. doi: 10.4064/sm177-2-4

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