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arXiv · 0807.0988

A Spanning Set for the space of Super Cusp forms

Roland Knevel
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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.

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Roland Knevel. 2009-09-08. A Spanning Set for the space of Super Cusp forms. https://arxiv.org/abs/0807.0988

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