Krantz S.G. Harmonic and Complex Analysis in Several Variables

Springer International Publishing AG, 2017. — 429 p. — (Springer Monographs in Mathematics) — ISBN: 978-3-319-63229-2.The subject of harmonic analysis dates to the days of Bernoulli and Euler, but it was first formalized by Joseph Fourier in the early nineteenth century. In the intervening 200 years we have seen the subject grow in many directions. The Fourier transform, Fourier analysis on locally compact abelian groups, group representations, Fourier integral operators, and many other fields find their genesis in the early work of Fourier.Introduction and Review
Boundary Behavior
The Heisenberg Group
Analysis on the Heisenberg Group
Reproducing Kernels
MoreontheKernels
The Bergman Metric
Geometric and Analytic Ideas
Additional Analytic Topics
Cauchy–Riemann Equations Solution.
A Few Miscellaneous Topics