# Math 504, spring 2000

This is an second semester graduate course in complex analysis.

### Errata

Problem **G4** is incorrect as stated. (Reported by L. Kang with an
example.) A correct statement would replace "equicontinuous" by some
sort of "spherical" equicontinuity (this refers to a metric on the
extended complex plane viewed as the two-sphere in R^{3}). We
can amend and correct the problem by the following statement: "Any
sequence of positive harmonic functions on a domain must have a
subsequence which either diverges uniformly on compact subsets to
+infinity or converges uniformly on compact subsets to a harmonic
function."

Problem **H5** is incorrect as stated. (Reported by L. Kang with an
example.) To repair it, delete "If *U* is a disc," and begin the
problem with the sentence, "Suppose *L* is a fixed compact subset
of *U* and *K* is any compact subset of *U* contained
in *L*."

Problem **J10**, the last problem, of course has a misintended
statement in the last sentence. Please interchange *S* and
*T* in that sentence.