Hypercomplex analysis

Contents......Page 6
Preface......Page 8
An Extension Theorem for Biregular Functions in Clifford Analysis......Page 9
The Hilbert Transform on the Unit Sphere in R[sup(m)]......Page 18
Discrete Clifford Analysis: A Germ of Function Theory......Page 44
On Factorization of Bicomplex Meromorphic Functions......Page 61
An Overview on Functional Calculus in Different Settings......Page 75
A Structure Formula for Slice Monogenic Functions and Some of its Consequences......Page 106
On the CK-extension for a Special Overdetermined System in Complex Clifford Analysis......Page 120
Polynomial Invariants for the Rarita-Schwinger Operator......Page 130
Hypermonogenic Functions and Their Dual Functions......Page 141
Description of a Complex of Operators Acting Between Higher Spinor Modules......Page 154
Recent Developments for Regular Functions of a Hypercomplex Variable......Page 168
Differential Equations in Algebras......Page 189
Necessary and Sufficient Conditions for Associated Pairs in Quaternionic Analysis......Page 208
Hyperderivatives in Clifford Analysis and Some Applications to the Cliffordian Cauchy-type Integrals......Page 222
Directional Quaternionic Hilbert Operators......Page 236
Hilbert Transforms on the Sphere and Lipschitz Surfaces......Page 260
n-Dimensional Bloch Classes......Page 277