This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.

Readership

Research mathematicians in geometry and analysis. Physicists, astronomers, and engineers in certain areas.

Reviews

"Being the result of a set of (exciting) lectures, the book provides also many ideas for further developments ... will be used ... in many graduate classes."

-- Zentralblatt MATH

Table of Contents

• Complex geometry and applications
• Function spaces and real analysis concepts
• References
• Index