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Several Complex Variables and Integral Formulas






Pub Date: 
Publisher:  World Scientific Publishing Company, Incorporated
Summary: 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 results mentione...d 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.

Adachi, Kenzo is the author of Several Complex Variables and Integral Formulas, published 2007 under ISBN 9789812705747 and 9812705740. One Several Complex Variables and Integral Formulas textbook is available for sale on ValoreBooks.com, or buy new starting at $138.41.
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Several Complex Variables and Integral Formulas

ISBN-13: 9789812705747

ISBN: 9812705740

Pub Date:
Publisher: World Scientific Publishing Company, Incorporated
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