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

This Research Note provides a deep link between the active fields of Several Complex Variables Theory and Clifford Analysis. The authors draw on their extensive research in the field to establish integral theorems for Several Complex Variables Theory, which forms a bridge between it and Function Theory in one complex variable. There has recently been a strong period of activity in the field, and Integral Theorems for Functions and Differential Forms in Cm provides a good "summing up" by presenting a complete and up-to-date survey, as well as new results and methods.

List 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.

About the author

Reynaldo Rocha-Chavez, Michael Shapiro, Frank Sommen

Summary

Reveals a deep link between the fields of several complex variables theory and Clifford analysis. This book changes the general viewpoint on the methods and ideas of several complex variables theory.

Additional text

"…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

Product details

• Authors: Reynaldo Rocha-Chavez, Rocha-Chavez Reynaldo, Michael Shapiro, Frank Sommen, Frank (University of Ghent Sommen, Sommen Frank
• Assisted by: Haim Brezis (Editor of the series), Ronald G. Douglas (Editor of the series), Alan Jeffrey (Editor of the series)
• Publisher: Taylor and Francis
• Languages: English
• Product format: Paperback / Softback
• Released: 03.08.2001
• EAN: 9781584882466
• ISBN: 978-1-58488-246-6
• No. of pages: 214
• Weight: 380 g
• Series: Chapman & Hall/CRC Research Notes in Mathematics Series; Chapman & Hall/CRC Research Notes in Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, MATHEMATICS / Functional Analysis, Differential calculus & equations, Functional analysis & transforms, Functional analysis and transforms, Differential calculus and equations