Normal Families and Normal Functions

This book centers on normal families of holomorphic and meromorphic functions and also normal functions. The authors treat one complex variable, several complex variables, and infinitely many complex variables (i.e., Hilbert space).

Autorentext

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.

Inhalt

1. Introduction. 2. A Glimpse of Normal Families. 3. Normal Families in Cn. 4. Normal Functions in Cn. 5. A Geometric Approach to the Theory of Normal Families. 6. Some Classical Theorems. 7. Normal Families of Holomorphic Functions. 8. Spaces that Omit the Values 0 and 1. 9. Concluding Remarks.