Conformal Mappings

Daniel Alpay
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Daniel Alpay: Ben-Gurion University of the Negev, Department of Mathematics

Chapter Chapter 10 in A Complex Analysis Problem Book, 2016, pp 443-456 from Springer

Abstract: Abstract Riemann’s mapping theorem asserts that a simply-connected domain different from ℂ $$ {\mathbb{C}} $$ is conformally equivalent to the open unit disk: There exists an analytic bijection from Ω onto 𝔻 $$ {\mathbb{D}} $$ (that the inverse is itself analytic is automatic; see Exercise 10.2.4).

Date: 2016
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DOI: 10.1007/978-3-319-42181-0_10

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