Spectra of linear fractional composition operators on $H^2(B_N)$

Details Spectra of linear fractional composition operators on $H^2(B_N)$ Spectra of linear fractional composition operators on $H^2(B_N)$

2010-11-28

arxiv.org/abs/1011.6020v1

Mathematics

Complex Variables

22 pages

Scientific paper

We characterize the spectra of composition operators on the Hardy space
$H^2(B_N)$, when the symbols are elliptic or hyperbolic linear fractional
self-maps of $B_N$. Therefore, combining with the result obtained by Bayart
\cite{B10}, the spectra of all linear fractional composition operators on
$H^2(B_N)$ are completely determined.

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