Computational Methods and Function Theory 2 (2002), No. 1, 29--65
Copyright Heldermann Verlag 2002
Rolf Sören Kraußhar
krauss@cage.rug.ac.be, Department of Mathematical Analysis, Ghent University, Building S-22, Galglaan 2, B-9000 Ghent, Belgium.
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 trigonometric functions, the elliptic functions and modular forms within this function theory. In this paper we study their fundamental properties and focus on construction methods.
Keywords: Complexified Clifford analysis, complexified Dirac operator, automorphic forms, Eisenstein series, singularity cones.
MSC 2000: 30G35, 11F03.
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