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MR2009562 47B33 (47A15)
Chalendar, I.; Partington, J. R. On the structure of invariant subspaces for isometric composition operators on $H\sp 2(\Bbb D)$ and $H\sp 2(\Bbb C\sb +)$. Arch. Math. (Basel) 81 (2003), no. 2, 193–207.
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