Several Complex Variables And Integral Formulas
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A01=Kenzo Adachi
Analysis
Author_Kenzo Adachi
Bergman Kernel
Category=PBKJ
Complex Analysis in Several Variables
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Holomorphic Function
Integral Formula
Levi Problem
Several Complex Variables
Product details
- ISBN 9789812705747
- Publication Date: 21 Mar 2007
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This volume is an introductory text in several complex variables, using methods of integral representations and Hilbert space theory. It investigates mainly the studies of the estimate of solutions of the Cauchy-Riemann equations in pseudoconvex domains and the extension of holomorphic functions in submanifolds of pseudoconvex domains which were developed in the last 50 years. We discuss the two main studies mentioned above by two different methods: the integral formulas and the Hilbert space techniques. The theorems concerning general pseudoconvex domains are analyzed using Hilbert space theory, and the proofs for theorems concerning strictly pseudoconvex domains are solved using integral representations.This volume is written in a self-contained style, so that the proofs are easily accessible to beginners. There are exercises featured at the end of each chapter to aid readers to better understand the materials of this volume. Fairly detailed hints are articulated to solve these exercises.
