One complex variable from the several variable point of view /

"Traditionally speaking, those who study the function theory of one complex variable spend little or no time thinking about several complex variables. Conversely, experts in the function theory of several complex variables do not consider one complex variable. One complex variable is the inspir...

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Bibliographic Details
Main Authors: Dovbush, Peter V. (Author), Krantz, Steven G. (Steven George), 1951- (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : CRC Press, 2025.
Edition:First edition.
Series:Textbooks in Mathematics
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1 Introduction 2 Complex numbers 3 The Cauchy-Riemann Equations 4 Convergent Power Series5 Montel's Theorem And its Applications 6 Boundary Behavior of Holomorphic Functions 7 Sokhotskii-Plemelj theorem8 The Dirichlet Problem 9 The Ahlfors Map 10 Reproducing Kernels in Complex Analysis 11 Conformal mappings 12 Fundamental Solutions in Complex Analysis: The Cauchy Riemann Operator