Harmonic and Complex Analysis in Several Variables

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...

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Main Author: Krantz, Steven G. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Springer Monographs in Mathematics,
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-63231-5
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.