Recent content by henry1964

A couple friends worked on this problem (for a week now...) Trying to show that a conformal bijective map that sends vertices of one rectangle to vertices of another rectangle on the complex plane has to be linear. I would appreciate any help, Thank you.

D is be a bounded domain in the complex plane. Suppose f : D -->D is a holomorphic automorphism (conformal bijection). Now define f_n(z) = f(f(f(f ..(z) (composed n times ). Trying (and failing) to show: (i) the sequence {f_n} has a subsequence that converges either to a constant or to an...