Integral Theorems for Functions and Differential Forms in C(m)

by Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen

Overview

The theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation. Research in this area has led to the discovery of many sophisticated facts, structures, ideas, relations, and applications. This deepening of knowledge, however, has also revealed more

Product Details

ISBN-13:	9781040218839
Publisher:	CRC Press
Publication date:	08/03/2001
Series:	Chapman & Hall/CRC Research Notes in Mathematics Series
Sold by:	Barnes & Noble
Format:	eBook
Pages:	216
File size:	766 KB

About the Author

Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen

Table of Contents

Introduction. Differential Forms. Differential Forms with Co-Efficients in 2x2 Matrices. Hyperholomorphic Functions and Differential Forms in Cm. Cauchy's Theorem. Morera's Theorem. Cauchy's Integral Representation. Hyperholomorphic D-problem. Complex Hodge-Dolbeault System. Relations with Clifford Analysis.

Editorial Reviews

"…the book will be interesting to specialists in complex analysis and its applications".
- Mathematical Reviews, 2003a

"This well-written book is a valuable contribution to the broad field of interactions between complex analysis and partial differential equations...Moreover, the book can be used for individual studies, because fundamental concepts and important theorems are explained in detail."
-Mathematical Reviews, Issue 94a

From the Publisher