Title: A Theory of Modular Forms in Clifford Analysis, their Applications and Perspectives
Authors: Krausshar, Rolf Sören
Issue Date: 2004
Publisher: Birkhauser
Host Document: Advances in Analysis and Geometry New Developments Using Clifford Algebras edition:1 pages:311-343
Abstract: This chapter is devoted to monogenic, harmonic and polymonogenic Clifford-valued automorphic forms that are related to discrete subgroups of Vahlen groups that act on half-spaces of real and complex Minkowski type spaces. In particular, Eisenstein and Poincare type series are constructed within this framework.
We discuss their basic properties and provide a short overview about their range of applications to several areas from pure and applied mathematics, as for example, to number theory, to functional analysis and to order theory and pde's on manifolds.
ISBN: 3-7643-6661-3
Publication status: published
KU Leuven publication type: IHb
Appears in Collections:Analysis Section

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