: Irene Sabadini, Michael Shapiro, Frank Sommen
: Irene Sabadini, Michael Shapiro, Franciscus Sommen
: Hypercomplex Analysis
: Birkhäuser Basel
: 9783764398934
: 1
: CHF 132.90
:
: Analysis
: English
: 289
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

This book contains selected papers from the ISAAC conference 2007 and invited contributions. The topics covered represent the main streams of research in hypercomplex analysis as well as 'state of the art' expository articles. The book will be of interest to researchers and postgraduate students in various areas of mathematical analysis, e.g. one and several complex variables, PDE, hypercomplex analysis, operator theory, theoretical and mathematics physics.
Contents6
Preface8
An Extension Theorem for Biregular Functions in Clifford Analysis9
The Hilbert Transform on the Unit Sphere in Rm18
Discrete Clifford Analysis: A Germ of Function Theory44
On Factorization of Bicomplex Meromorphic Functions61
An Overview on Functional Calculus in Different Settings75
A Structure Formula for Slice Monogenic Functions and Some of its Consequences106
On the CK-extension for a Special Overdetermined System in Complex Clifford Analysis120
Polynomial Invariants for the Rarita- Schwinger Operator130
Hypermonogenic Functions and Their Dual Functions141
Description of a Complex of Operators Acting Between Higher Spinor Modules154
Recent Developments for Regular Functions of a Hypercomplex Variable168
Differential Equations in Algebras189
Necessary and Sufficient Conditions for Associated Pairs in Quaternionic Analysis208
Hyperderivatives in Clifford Analysis and Some Applications to the Cliffordian Cauchy- type Integrals222
Directional Quaternionic Hilbert Operators236
Hilbert Transforms on the Sphere and Lipschitz Surfaces260
n-Dimensional Bloch Classes277