Hypercomplex Analysis: Trends in Mathematics

An Extension Theorem for Biregular Functions in Clifford Analysis.- The Hilbert Transform on the Unit Sphere in ?m.- Discrete Clifford Analysis: A Germ of Function Theory.- On Factorization of Bicomplex Meromorphic Functions.- An Overview on Functional Calculus in Different Settings.- A Structure Formula for Slice Monogenic Functions and Some of its Consequences.- On the CK-extension for a Special Overdetermined System in Complex Clifford Analysis.- Polynomial invariants for the rarita-schwinger operator.- Hypermonogenic functions and their dual functions.- Description of a Complex of Operators Acting Between Higher Spinor Modules.- Recent Developments for Regular Functions of a Hypercomplex Variable.- Differential Equations in Algebras.- Necessary and Sufficient Conditions for Associated Pairs in Quaternionic Analysis.- Hyperderivatives in Clifford Analysis and Some Applications to the Cliffordian Cauchy-type Integrals.- Directional quaternionic hilbert operators.- Hilbert Transforms on the Sphere and Lipschitz Surfaces.- n-Dimensional Bloch Classes.

First-rate mathematicians as contributing authors Covers most recent achievements in the area as well as state-of-the-art expositions Different aspects of hypercomplex analysis Includes supplementary material: sn.pub/extras