4 papers
Cuspidal integrals and subseries for
Mogens Flensted-Jensen, Job J. Kuit
We show that for the symmetric spaces and the cuspidal integrals are absolutely conver…
Asymptotics for the Radon transform on hyperbolic spaces
Nils Byrial Andersen, Mogens Flensted--Jensen
Let G/H be a hyperbolic space over R C or H, and let K be a maximal compact subgroup of G. Let D denote a certain explicit invariant differential operator, such that the non-cuspid…
Cuspidal discrete series for projective hyperbolic spaces
Nils Byrial Andersen, Mogens Flensted-Jensen
We have in [1] proposed a definition of cusp forms on semisimple symmetric spaces , involving the notion of a Radon transform and a related Abel transform. For the real non-Ri…
Cuspidal discrete series for semisimple symmetric spaces
Nils Byrial Andersen, Mogens Flensted-Jensen, Henrik Schlichtkrull
We propose a notion of cusp forms on semisimple symmetric spaces. We then study the real hyperbolic spaces in detail, and show that there exists both cuspidal and non-cuspidal disc…