Hypercomplex Analysis

ISBN-13: 9783764398927 / Angielski / Twarda / 2009 / 289 str.

Opis

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.

Spis treści

Differential equations in algebras.- Necessary and sufficient conditions for associated pairs in quaternionic analysis.- Hilbert transforms on the sphere and Lipschitz surfaces.- Description of a complex of operators acting between higher spinor modules.- Polynomial invariants for the Rarita-Schwinger operator.- Hyperderivatives in Clifford analysis and some applications to the Cliffordian Cauchy-type integrals.- An extension theorem for biregular functions in Clifford analysis.- The Hilbert transform on the unit sphere in Rm.- On the CK–extension for a special overdetermined system in complex Clifford analysis.- Directional quaternionic Hilbert operators.- An overview on functional calculus in different settings.- On factorization of bicomplex meromorphic functions.- A structure formula for slice monogenic functions and some of its consequences.- Hypermonogenic functions and their dual functions.