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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2018 • Question 10

Question

Math 6210 • Real Analysis Spring 2018 • Question 10

Find a biholomorphism \(\varphi \) of \(D\setminus \mathbb R^-\) onto \(D\). Here \(\mathbb R^-=\{x\in \mathbb R:x\le 0\}\).

(It will suffice to give explicitly finitely many maps whose composition is equal to \(\varphi \).)

Raw LaTeX

Find a biholomorphism \(\varphi\) of \(D\setminus\mathbb R^-\) onto
\(D\). Here \(\mathbb R^-=\{x\in\mathbb R:x\le0\}\).

(It will suffice to give explicitly finitely many maps whose composition is
equal to \(\varphi\).)

Topic Tags

Automorphism Groups and Biholomorphisms