Overview

This book is intended as both an introductory text and a reference book for those interested in studying several complex variables in the context of partial differential equations. In the last few decades, significant progress has been made in the study of Cauchy-Riemann and tangential Cauchy-Riemann operators; this progress greatly influenced the development of PDEs and several complex variables. After the background material in complex analysis is developed in Chapters 1 to 3, the next three chapters are devoted to the solvability and regularity of the Cauchy-Riemann equations using Hilbert space techniques. The authors provide a systematic study of the Cauchy-Riemann equations and the \bar\partial-Neumann problem, including Hormander's L2 existence progress on the global regularity and irregularity of the \bar\partial-Neumann operators. The second part of the book gives a comprehensive study of the tangential Cauchy-Riemann equations, another important class of equations in several complex variables first studied by Lewy. An up-to-date account of the L2 theory for \bar\partial b operator is given. Explicit integral solution representations are constructed both on the Heisenberg groups and on strictly convex boundaries with estimates in Holder and L2 spaces. Embeddability of abstract CR structures is discussed in detail here for the first time. Titles in this series are co-published with International Press, Cambridge, MA.

Full Product Details

Author:   So-Chin Chen ,  Mei-Chi Shaw
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   Reprinted edition
Volume:   No. 19
Dimensions:   Width: 17.70cm , Height: 2.10cm , Length: 25.20cm
Weight:   0.668kg
ISBN:  

9780821829615

ISBN 10:   0821829610
Pages:   380
Publication Date:   30 November 2001
Audience:   College/higher education ,  General/trade ,  Professional and scholarly ,  Undergraduate ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions