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The range of linear fractional maps on the unit ball

The range of linear fractional maps on the unit ball

In 1996, C. Cowen and B. MacCluer studied a class of maps on $\mathbb C^N$ that they called linear fractional maps. Using the tools of KreÄ­n spaces, it can be shown that a linear fractional map is a self-map of the ball if and only if an associated matrix is …