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portada Several Complex Variables and Integral Formulas
Several Complex Variables and Integral FormulasSeveral Complex Variables and Integral FormulasSeveral Complex Variables and Integral Formulas
Type
Physical Book
Year
2007
Language
English
Pages
376
Format
Hardcover
Dimensions
22.8 x 16.0 x 2.7 cm
Weight
0.65 kg.
ISBN
9812705740
ISBN13
9789812705747

Several Complex Variables and Integral Formulas

Kenzo Adachi (Author) · World Scientific Publishing Company · Hardcover

Several Complex Variables and Integral Formulas - Adachi, Kenzo

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Synopsis "Several Complex Variables and Integral Formulas"

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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