Items related to SEVERAL COMPLEX VARIABLES AND INTEGRAL FORMULAS

SEVERAL COMPLEX VARIABLES AND INTEGRAL FORMULAS - Hardcover

Adachi, Kenzo

 
9789812705747: SEVERAL COMPLEX VARIABLES AND INTEGRAL FORMULAS
Hardcover
ISBN 10: 9812705740 ISBN 13: 9789812705747
Publisher: World Scientific Publishing Company, 2007

Synopsis

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.

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Publisher
World Scientific Publishing Company
Publication date
2007
Language
English
ISBN 10 
9812705740
ISBN 13 
9789812705747
Binding
Hardcover
Number of pages
376