Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups

Details Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups

2006-05-12

arxiv.org/abs/math/0605324v2

Mathematics

Analysis of PDEs

32 pages

Scientific paper

Fundamental solutions of Dirac type operators are introduced for a class of
conformally flat manifolds. This class consists of manifolds obtained by
factoring out the upper half-space of $\mathbb{R}^n$ by arithmetic subgroups of
generalized modular groups. Basic properties of these fundamental solutions are
presented together with associated Eisenstein and Poincar\'e type series.

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