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- W4387323900 abstract "Determining the range of complex maps plays a fundamental role in the study of several complex variables and operator theory. In particular, one is often interested in determining when a given holomorphic function is a self-map of the unit ball. In this paper, we discuss a class of maps in $mathbb{C}^N$ that generalize linear fractional maps. We then proceed to determine precisely when such a map is a self-map of the unit ball. In particular, we take a novel approach obtaining numerous new results about this class of maps along the way." @default.
- W4387323900 created "2023-10-04" @default.
- W4387323900 creator A5009526584 @default.
- W4387323900 date "2023-10-01" @default.
- W4387323900 modified "2023-10-05" @default.
- W4387323900 title "Linear Fractional Self-Maps of the Unit Ball in $mathbb{C}^N$" @default.
- W4387323900 doi "https://doi.org/10.48550/arxiv.2310.00787" @default.
- W4387323900 hasPublicationYear "2023" @default.
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