A Spanning Set for the space of Super Cusp forms
Complex Variables
2009-09-08 v5 Group Theory
Abstract
Aim of this article is the construction of a spanning set for the space of super cusp forms on a complex bounded symmetric super domain B of rank 1 with respect to a lattice. The main ingredients are a generalization of the Anosov closing lemma for partially hyperbolic diffeomorphisms and an unbounded realization of B, in particular Fourier decomposition at the cusps mapped to infinity via a partial Cayley transformation. The elements of the spanning set are in finite-to-one correspondence with closed geodesics, the number of elements corresponding to a geodesic growing linearly with its length.
Cite
@article{arxiv.0807.0988,
title = {A Spanning Set for the space of Super Cusp forms},
author = {Roland Knevel},
journal= {arXiv preprint arXiv:0807.0988},
year = {2009}
}
Comments
46 pages, 2 figures. Minor changes in replacement