Harmonic and Complex Analysis in Several Variables

• Main Author: Krantz, Steven G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Harmonic analysis.; Functions of complex variables.; Abstract Harmonic Analysis.; Functions of a Complex Variable.

Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: complex analysis and harmonic analysis. Written with the graduate student in mind, it is assumed that the reader ha...

Table of Contents:

• Preface
• 1. Introduction and Review
• 2. Boundary Behavior
• 3. The Heisenberg Group
• 4. Analysis on the Heisenberg Group
• 5. Reproducing Kernels
• 6. More on the Kernels
• 7. The Bergman Metric
• 8. Geometric and Analytic Ideas
• 9. Additional Analytic Topics
• 10. Cauchy-Riemann Equations Solution
• 11. A Few Miscellaneous Topics
• Bibliography
• Index.