## 1. FTA.

I take these notes about the fundamental theorem of algebra in [1].

Fundamental Theorem of Algebra. Every complex polynomial  of degree  has a factorization… 736 more words

#### Behavior of harmonic functions comparing with a Green's function

Theorem Let , satisfies

If there exists such that

If as , then in .

Proof: Without loss of generality assume on , or we can add a large constant on to make it positive on boundary.

47 more words
Elliptic Theory