Dr. Martin Olbermann Math 185
Due: Wednesday, Feb. 13, in class Spring 2008
Homework 3
Proofs and explanations should always be written using complete English sen-
tences. You should always explain and justify each of the steps in your solution, unless
otherwise noted. Write your name and ”Math 114” on the top right of the first page.
1. Sarason, II.8, exercises 1 and 2.
2. Sarason, II.15, exercises 1 and 3.
Remarks:
In exercise 1, it may help to think of the holomorphic function which sends zto z3.
The solution of exercise 1 generalizes to polynomials of higher degree.
In exercise 3, uis not defined at (0,0).
3. Sarason, II.15, exercise 4.
4. Sarason, II.16, exercises 1 and 2.