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D. Romik, Christopher Alexander, Jennifer Brown, Brynn Caddel, Keith Conrad, Bo Long, Anthony Nguyen, Jianping Pan (2020)
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We prove that all proper holomorphic mappings from a finitely connected domain in the plane to the right half plane can be expressed simply in terms of the Szegö kernel associated to the domain. Our decomposition also reveals the linear structure of the semi-group of all such maps and it offers a method to construct proper holomorphic maps of arbitrary mapping degree.
Computational Methods and Function Theory – Springer Journals
Published: Nov 17, 2010
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