1st Edition
One Complex Variable from the Several Variable Point of View
1 Introduction
2 Complex numbers
3 The Cauchy-Riemann Equations
4 Convergent Power Series
5 Montel’s Theorem And its Applications
6 Boundary Behavior of Holomorphic Functions
7 Sokhotskii—Plemelj theorem
8 The Dirichlet Problem
9 The Ahlfors Map
10 Reproducing Kernels in Complex Analysis
11 Conformal mappings
12 Fundamental Solutions in Complex Analysis: The Cauchy Riemann Operator
Biography
Peter V. Dovbush Dr. habil., Associate Professor, in Moldova State University, Institute of Mathematics and Computer Science. He received his Ph.D. in Lomonosov Moscow State University in 1983 and Doctor of Sciences in 2003. He has published over over 50 scholarly articles.
Steven G. Krantz is a Professor of Mathematics at Washington University in St. Louis. He has previously taught at UCLA, Princeton University, and Penn State University. He received his Ph.D. from Princeton University in 1974. Krantz has directed 20 Ph.D. students and 8 Masters students. He has published over 130 books and over 300 scholarly articles. He is the holder of the Chauvenet Prize and the Beckenbach Book Award and the Kemper Prize. He is a Fellow of the American Mathematical Society.
