Complex analysis nowadays has higher-dimensional analoga: the algebra of complex
numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford …

Clifford Analysis: History and Perspective Introduction Page 1 Computational Methods and
Function Theory Volume 1(2001), No. 1, 107–153 Clifford Analysis: History and Perspective …

Die Funktionentheorie, im englischen Sprachraum auch Komplexe Analysis genannt, hat in
ihrer mehr als 200jährigen Geschichte eine Vielzahl tiefliegender und ästhetischer …

This book describes the basic theory of hypercomplex-analytic automorphic forms and
functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces …

In this paper we study Clifford and harmonic analysis on some examples of conformal flat
manifolds that have a spinor structure, or more generally, at least a pin structure. The …

Cotangent type functions in R n are used to construct Cauchy kernels and Green kernels on
the conformally flat manifolds R n/Zk where 1≤ k≤ n. Basic properties of these kernels are …

We introduce the basic concepts of Clifford analysis. This analysis started many years ago
as an attempt to generalize one variable complex analysis to higher dimensions. Most of the …

Clifford algebras of lower-dimensional Euclidean spaces and Minkowski spacetime are
discussed and identified with their matrix images. The geometric significance of quatemions …

This paper is an elaboration of an introductory talk given by the author at a workshop on
Clifford algebras at Tennessee Technical University, in May 2002. We give an introduction to …

In this paper we deal with generalizations of the classical Eisenstein series within the
framework of complexified Clifford analysis. In particular, we discuss generalizations of the …