MATH 825 COMPLEX ANALYSIS I (3) I. Holomorphic functions, harmonic functions, the Cauchy integral theorem, normal families and the Reimann mapping theorem, and the Mittag-Leffler theorem. PR.: MATH 822 or consent of department.

MATH 826 COMPLEX ANALYSIS II (3) II. Analytic continuation, the Picard theorem, Hp- spaces, elementary theory of Banach algebra, the theory of Fourier transforms, and the Paley-Wiener theorems. Pr.: MATH 825.