This book provides a comprehensive overview of the basic theory of hypercomplex-analytic automorphic forms and functions in higher dimensional spaces. It gives a summary on the research results obtained over the last five years and establishes a new field within the theory of functions of hypercomplex variables and within analytic number theory.

First extensive, comprehensive detailed and rather offrounded treatment of the basic theory of hypercomplex-analytic automorphic forms Summarizes recent research results on a new branch within hypercomplex analysis and analytic number theory Provides a breakthru in this research field and opens the door for further investigation in this line Includes useful perspectives for applications to function spaces and global analysis, as it develops new methods to tackle these problems

Inhalt
Introduction.- 1. Function Theory in Hypercomplex Spaces.- 2. Clifford-analytic Eisenstein Series Associated to Translation Groups.- 3. Clifford-analytic Modular Forms.- Bibliography.- Index.