1st Edition
Integral Theorems for Functions and Differential Forms in C(m)
214 Pages
by
Chapman & Hall
216 Pages
by
Chapman & Hall
Also available as eBook on:
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 and more paradoxical differences between the... Read more
Introduction
Differential Forms
Differential Forms with Coefficients in 2 x 2 Matrices
Hyperholomorphic Functions and Differential Forms in Cm
Hyperholomorphic Cauchy's Integral Theorems
Hyperholomorphic Morera's Theorems
Hyperholomorphic Cauchy's Intergral Representations
Hyperholomorphic D-Problem
Complex Hodge-Dolbeault System, the ?-Problem and the Koppelman Formula
Relation Between Hyperholomorphic Theory and Clifford Analysis
Differential Forms
Differential Forms with Coefficients in 2 x 2 Matrices
Hyperholomorphic Functions and Differential Forms in Cm
Hyperholomorphic Cauchy's Integral Theorems
Hyperholomorphic Morera's Theorems
Hyperholomorphic Cauchy's Intergral Representations
Hyperholomorphic D-Problem
Complex Hodge-Dolbeault System, the ?-Problem and the Koppelman Formula
Relation Between Hyperholomorphic Theory and Clifford Analysis
Biography
Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen
"…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
